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Eletromagnetismo com Maple

A s\303\255ntese da F\303\255sica Te\303\263rica est\303\241 em se partir de uma Lagrangeana. O resto \303\251 c\303\241lculo. Ent\303\243o: - O que \303\251 uma Lagrangeana? Duas bases a constroem. Uma \303\251 a sua vari\303\241vel, o campo; a outra a sua regra, a simetria. Deste modo, o eletromagnetismo iniciou-se de observa\303\247\303\265es experimentais. Conseguiu estipular as 4 equa\303\247\303\265es de Maxwell e as reescreveu em termos de Lagrangeana. Para isto, descobriu o campo LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KVEiQUYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUSpbNiw3LDIwMV1GJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGPS1JJW1yb3dHRiQ2JS1GLDYpUSUmbXU7RidGL0YyRjVGOEY7Rj5GOC9GPFEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==como sua vari\303\241vel e as simetrias de Lorentz e de Gauge como suas regras de encaminhamento. A Lagrangeana \303\251 dada por: \342\204\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+ 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 , onde a vari\303\241vel \303\251 o campo 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 as seguintes simetrias: 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\342\206\222 (Simetria de Lorentz) 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\316\261 \342\206\222 (Simetria de Gauge) Estudaremos, primeiramente, a simetria de gauge: (i) 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 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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 = 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a corrente for conservada Ent\303\243o: 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 = 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Dado \342\204\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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSkYnLyUnZmFtaWx5R1ExQXJpYWx+VW5pY29kZX5NU0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0tRiM2JS1GLzYoUScmIzk0NTtGJ0YyRjVGOEY7Rj5GMi9GPFEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JJW1zdXBHRiQ2JS1GLzYoUSJBRidGMkY1RjhGO0Y+LUYjNiYtRi82I1EhRidGQkYyRkUvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZJRjJGRQ== , retirar a equa\303\247\303\243o de movimento: 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(i) 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 (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) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0Yn 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 (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) = 0 ; LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtSSNtb0dGJDYvUSsmUGFydGlhbEQ7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y7LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk8tRiM2Jy1GLDYnUSUmbnU7RidGNi8lJ2l0YWxpY0dGQEY5RjxGNi8lMGZvbnRfc3R5bGVfbmFtZUdRJVRleHRGJ0Y5RjwvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JJm1mcmFjR0YkNigtRiM2J0YyRjZGWUY5RjwtRiM2K0YyLUYzNi9RIn5GJ0Y2RjlGPEY+RkFGQ0ZFRkdGSUZLRk1GUEYvLUYwNiUtRiw2J1EiQUYnRjZGV0Y5RjwtRiM2Jy1GLDYnUSUmbXU7RidGNkZXRjlGPEY2RllGOUY8RmZuRitGNkZZRjlGPC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYnAvJSliZXZlbGxlZEdGQEY2RllGOUY8 (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) = 0 LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiSkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtcm93R0YkNiQtRiw2KFEoJmFscGhhO0YnLyUnZmFtaWx5R1ExQXJpYWx+VW5pY29kZX5NU0YnRi9GMkY1RjgvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRic=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 = 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 O que resulta na seguinte equa\303\247\303\243o do movimento: 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 = 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 = p11 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p12 Para o termo Lc :(MV2) 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 = p21 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 = p22 Solu\303\247\303\243o: MV = MV1 + MV2 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= MV1 = p11 - p12 C\303\241lculo do p11 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 = 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 = 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 JSFH restart;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= with (Physics): Define(L,F,J,A,Lk,Lc);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PC5JIkFHNiJJIkZHRiRJIkpHRiRJIkxHRiRJI0xjR0YkSSNMa0dGJCZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLUkoUGh5c2ljc0c2JEYtSShfc3lzbGliR0YkL0kxaGlkZW1vZHVsZXByZWZpeEdGJEkldHJ1ZUdGLTYjSSNtdUdGJCZJI2dfR0YsNiRJI251R0YkRjcmSSZnYW1tYUdRUkM6XEFycXVpdm9zfmRlfnByb2dyYW1hc1xNYXBsZX4xNC9saWJcUGh5c2ljcy5tbGFGJEY2Jkkmc2lnbWFHRj5GNiZJKGVwc2lsb25HRj42JkkmYWxwaGFHRiRJJWJldGFHRiRGO0Y3JkkmZGVsdGFHRj5GOg==

Define(F,antisymmetric);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PC5JIkFHNiJJIkZHRiRJIkpHRiRJIkxHRiRJI0xjR0YkSSNMa0dGJCZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLUkoUGh5c2ljc0c2JEYtSShfc3lzbGliR0YkL0kxaGlkZW1vZHVsZXByZWZpeEdGJEkldHJ1ZUdGLTYjSSNtdUdGJCZJI2dfR0YsNiRJI251R0YkRjcmSSZnYW1tYUdRUkM6XEFycXVpdm9zfmRlfnByb2dyYW1hc1xNYXBsZX4xNC9saWJcUGh5c2ljcy5tbGFGJEY2Jkkmc2lnbWFHRj5GNiZJKGVwc2lsb25HRj42JkkmYWxwaGFHRiRJJWJldGFHRiRGO0Y3JkkmZGVsdGFHRj5GOg==

Coordinates(X);

SUtTeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclh8aHJ+RzYi

PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Lk:= -1/4*F[alpha,beta]*F[alpha,beta];

LCQqJiMiIiIiIiVGJSkmSSJGRzYiNiRJJmFscGhhR0YqSSViZXRhR0YqIiIjRiUhIiI=

p1:=Simplify(diff(Lk,F[rho,sigma]));

LCQqJiMiIiIiIiNGJSZJIkZHNiI2JEkkcmhvR0YpSSZzaWdtYUdGKUYlISIi

F[rho,sigma]:=d_[rho](A[sigma](X))-d_[sigma](A[rho](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJJHJob0dGLTYkLSZJIkFHRi02I0kmc2lnbWFHRi02I0kiWEdGLTcjRjoiIiItJkYlRjc2JC0mRjZGMUY5RjshIiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNigtSSNtb0dGJDYxUSsmUGFydGlhbEQ7RicvJSdmYW1pbHlHUStNb25vc3BhY2VkRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y9LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSC8lKXN0cmV0Y2h5R0ZILyUqc3ltbWV0cmljR0ZILyUobGFyZ2VvcEdGSC8lLm1vdmFibGVsaW1pdHNHRkgvJSdhY2NlbnRHRkgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZXLUklbXN1YkdGJDYlLUYsNihRIkZGJ0Y4RjtGPkZARkMtRiM2KC1JKG1mZW5jZWRHRiQ2Ki1GIzYoLUYsNidRLSYjOTYxOyYjOTYzO0YnRjtGPkZARkNGK0Y7Rj5GQEZDRjhGO0Y+RkBGQy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0YrRjtGPkZARkMvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y7Rj5GQEZDLUYjNipGNC1GNTYxUSJ+RidGOEY7Rj5GQEZDRkZGSUZLRk1GT0ZRRlNGVUZYLUZlbjYlLUYsNihRIkFGJ0Y4RjtGPkZARkMtRiM2Jy1GLDYoUSUmbXU7RidGOEY7Rj5GQEZDRjtGPkZARkNGam8tRjU2MEZhcEY7Rj5GQEZDRkZGSUZLRk1GT0ZRRlNGVUZYRjtGPkZARkMvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmNxLyUpYmV2ZWxsZWRHRkhGO0Y+RkBGQw=== p2 diff(F[rho,sigma],A[mu](X));

IiIh

p2:=Simplify(%);

IiIh

p11:=p1*p2;

IiIh

C\303\241lculo do p12 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= 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(p1.p3) =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(p4) = p12 LUkmbWZyYWNHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2KC1JJW1yb3dHRiQ2JS1JI21vR0YkNjFRKyZQYXJ0aWFsRDtGJy8lJ2ZhbWlseUdRK01vbm9zcGFjZWRGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRjcvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSSVtc3ViR0YkNiUtSSNtaUdGJDYoUSJGRidGMkY1RjhGOkY9LUYsNiUtSShtZmVuY2VkR0YkNiotRiw2JC1GWDYnUS0mcmhvOyZzaWdtYTtGJ0Y1RjhGOkY9L0Y7USdub3JtYWxGJ0YyRjVGOEY6Rj0vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRictRlg2I1EhRidGX28vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Zfby1GLDYlRi4tRmhuNigtRiw2Jy1GVTYlRi4tRiw2JC1GWDYoUSUmbnU7RidGMkY1RjhGOkY9Rl9vRmpvLUYvNjFRIn5GJ0YyRjVGOEY6Rj1GQEZDRkVGR0ZJRktGTUZPRlItRlU2JS1GWDYoUSJBRidGMkY1RjhGOkY9LUYsNiQtRlg2KFElJm11O0YnRjJGNUY4RjpGPUZfb0Zqb0Znb0Zfb0YyRjVGOEY6Rj1GX28vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlxyLyUpYmV2ZWxsZWRHRkI= = p3 p3:=Simplify(diff(F[rho,sigma], d_[nu](A[mu](X))));

LCYqJiZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGJ0koUGh5c2ljc0c2JEYnSShfc3lzbGliRzYiL0kxaGlkZW1vZHVsZXByZWZpeEdGLUkldHJ1ZUdGJzYkSSNudUdGLUkkcmhvR0YtIiIiJkYlNiRJI211R0YtSSZzaWdtYUdGLUY0RjQqJiZGJTYkRjJGOEY0JkYlNiRGM0Y3RjQhIiI=

F[rho,sigma]:=d_[rho](A[sigma](X))-d_[sigma](A[rho](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJJHJob0dGLTYkLSZJIkFHRi02I0kmc2lnbWFHRi02I0kiWEdGLTcjRjoiIiItJkYlRjc2JC0mRjZGMUY5RjshIiI=

p4:=Simplify(p1*p3);

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJI251R0YtNiQtJkkiQUdGLTYjSSNtdUdGLTYjSSJYR0YtNyNGOiEiIi0mRiVGNzYkLSZGNkYxRjlGOyIiIg==

p12:=d_[nu](p4);

LCYtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyEiIi0mSSNkX0dGJUY0NiQtJkY8NiNJI251R0YsNiQtJkYzRkBGNkY4RjgiIiI=

MV1 := p11 - p12;

LCYtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJUY0NiQtJkY8NiNJI251R0YsNiQtJkYzRkBGNkY4RjghIiI=

MV2 = p21 - p22 C\303\241lculo do p21 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 p21 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Lc:= J[alpha](X)*A[alpha](X);

KiYtJkkiSkc2IjYjSSZhbHBoYUdGJjYjSSJYR0YmIiIiLSZJIkFHRiZGJ0YpRis=

diff(Lc,A[mu](X));

KiYtJkkiSkc2IjYjSSZhbHBoYUdGJjYjSSJYR0YmIiIiJkkjZ19HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiYvSTFoaWRlbW9kdWxlcHJlZml4R0YmSSV0cnVlR0YvNiRGKEkjbXVHRiZGKw==

p21:=Simplify(%);

LSZJIkpHNiI2I0kjbXVHRiU2I0kiWEdGJQ==

C\303\241lculo do p22 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 p22 JSFH JSFH p22:=d_[nu](diff(Lc, d_[nu](A[mu](X))));

IiIh

MV2:=p21-p22;

LSZJIkpHNiI2I0kjbXVHRiU2I0kiWEdGJQ==

Solu\303\247\303\243o Final MV = MV1 + MV2 MV:=MV1+MV2;

LCgtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJUY0NiQtJkY8NiNJI251R0YsNiQtJkYzRkBGNkY4RjghIiItJkkiSkdGLEY0RjZGOQ==

2\302\272 M\303\251todo: 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 - LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2MFErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjwvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1JJW1yb3dHRiQ2Jy1JI21pR0YkNidRJyYjOTU3O0YnRi9GMkY0RjdGL0YyRjRGNy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn 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 = 0 JSFH 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 = p1 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 = p2 MV = p1 - p2 JSFH F[alpha,beta]:= d_[alpha](A[beta](X)) - d_[beta](A[alpha](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJJmFscGhhR0YtNiQtJkkiQUdGLTYjSSViZXRhR0YtNiNJIlhHRi03I0Y6IiIiLSZGJUY3NiQtJkY2RjFGOUY7ISIi

L:= -1/4*(F[alpha,beta]*F[alpha,beta])+J[alpha](X)*A[alpha](X);

LCYqJiMiIiIiIiVGJSksJi0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRi1JKFBoeXNpY3NHNiRGLUkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRjNJJXRydWVHRi02I0kmYWxwaGFHRjM2JC0mSSJBR0YzNiNJJWJldGFHRjM2I0kiWEdGMzcjRkBGJS0mRitGPTYkLSZGPEY3Rj9GQSEiIiIiI0YlRkcqJi0mSSJKR0YzRjdGP0YlRkVGJUYl

p1:=Simplify(diff(L,A[mu](X)));

LSZJIkpHNiI2I0kjbXVHRiU2I0kiWEdGJQ==

diff(L, d_[nu](A[mu](X)));

LCYqKCwmKiYjIiIiIiIjRictJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YtSShQaHlzaWNzRzYkRi1JKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YzSSV0cnVlR0YtNiNJJmFscGhhR0YzNiQtJkkiQUdGMzYjSSViZXRhR0YzNiNJIlhHRjM3I0ZARichIiIqJkYmRictJkYrRj02JC0mRjxGN0Y/RkFGJ0YnRicmSSNnX0dGLDYkRjhJI251R0YzRicmRko2JEY+SSNtdUdGM0YnRicqKCwmRiVGJ0ZDRkJGJyZGSjYkRj5GTEYnJkZKNiRGOEZPRidGJw==

p2:=d_[nu](Simplify(%));

LCYtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyEiIi0mSSNkX0dGJUY0NiQtJkY8NiNJI251R0YsNiQtJkYzRkBGNkY4RjgiIiI=

Solu\303\247\303\243o Final MV = p1 - p2 MV:=p1-p2;

LCgtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJUY0NiQtJkY8NiNJI251R0YsNiQtJkYzRkBGNkY4RjghIiItJkkiSkdGLEY0RjZGOQ==

(iii) 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 \342\204\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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictRiM2KC1JJW1zdXBHRiQ2JS1GLDYoUSJtRicvJSdmYW1pbHlHUTFBcmlhbH5Vbmljb2Rlfk1TRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQi1GIzYmLUkjbW5HRiQ2J1EiMkYnRjdGOkZARkNGOkZARkMvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUklbXN1YkdGJDYlLUYsNihRIkFGJ0Y3RjpGPUZARkMtRiM2Ji1GLDYoUScmIzk0NTtGJ0Y3RjpGPUZARkNGOkZARkMvJS9zdWJzY3JpcHRzaGlmdEdGTS1GMjYlRlFGVEZLRjpGQEZDRitGN0Y6RkBGQw== 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

Dada a Lagrangeana de Massa LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEiTEYnLyUnZmFtaWx5R1ErTW9ub3NwYWNlZEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQC1GIzYlLUYvNilRIm1GJ0YyRjVGOEY7Rj5GQUY1L0Y/USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGSA== =LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUlYm9sZEdRJXRydWVGJy9GMFElYm9sZEYnLyUrZm9udHdlaWdodEdGSg== 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 Calcular a equa\303\247\303\243o do movimento(MV) 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 - LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2MFErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjwvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1JJW1yb3dHRiQ2Jy1JI21pR0YkNidRJyYjOTU3O0YnRi9GMkY0RjdGL0YyRjRGNy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1GIzYoLUkjbW9HRiQ2MFErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNi8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUC1JJW1zdWJHRiQ2JS1JI21pR0YkNidRIkxGJ0Y0RjdGOUY8LUYjNictRlc2I1EhRidGNEY3RjlGPC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjRGN0Y5RjwtRiM2KEYwLUkobWZlbmNlZEdGJDYnLUYjNiktRlQ2JUYwLUYjNictRlc2J1EnJiM5NTc7RidGNEY3RjlGPEY0RjdGOUY8RmluLUYxNjBRIn5GJ0Y0RjdGOUY8Rj9GQkZERkZGSEZKRkxGTkZRLUZUNiUtRlc2J1EiQUYnRjRGN0Y5RjwtRiM2Jy1GVzYnUScmIzk1NjtGJ0Y0RjdGOUY8RjRGN0Y5RjxGaW5GNEY3RjlGPEY0RjdGOUY8RjRGN0Y5RjwvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlxxLyUpYmV2ZWxsZWRHRkFGam9GNEY3RjlGPA== = 0 JSFH 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 = p1 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 = p2 MV = p1 - p2 JSFH restart;JSFH with (Physics): Define(L,A);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PCpJIkFHNiJJIkxHRiQmSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRilJKFBoeXNpY3NHNiRGKUkoX3N5c2xpYkdGJC9JMWhpZGVtb2R1bGVwcmVmaXhHRiRJJXRydWVHRik2I0kjbXVHRiQmSSNnX0dGKDYkRjNJI251R0YkJkkmZ2FtbWFHUVJDOlxBcnF1aXZvc35kZX5wcm9ncmFtYXNcTWFwbGV+MTQvbGliXFBoeXNpY3MubWxhRiRGMiZJJnNpZ21hR0Y6RjImSShlcHNpbG9uR0Y6NiZJJmFscGhhR0YkRjNJJWJldGFHRiRGNyZJJmRlbHRhR0Y6RjY=

Parameters(m);

PCNJIm1HNiI=

Coordinates(X);

SUtTeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclh8aHJ+RzYi

PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

Lm:= m^2*(A[alpha](X)*A[alpha](X));

KiYpSSJtRzYiIiIjIiIiKS0mSSJBR0YlNiNJJmFscGhhR0YlNiNJIlhHRiVGJkYn

L:= expand(%);

KiYpSSJtRzYiIiIjIiIiKS0mSSJBR0YlNiNJJmFscGhhR0YlNiNJIlhHRiVGJkYn

p1:=Simplify(diff(L,A[mu](X)));

LCQqKCIiIyIiIilJIm1HNiJGJEYlLSZJIkFHRig2I0kjbXVHRig2I0kiWEdGKEYlRiU=

diff(L, d_[nu](A[mu](X)));

IiIh

p2:=d_[nu](Simplify(%));

IiIh

Solu\303\247\303\243o Final MV = p1 - p2 MV:=p1-p2;

LCQqKCIiIyIiIilJIm1HNiJGJEYlLSZJIkFHRig2I0kjbXVHRig2I0kiWEdGKEYlRiU=

3\302\272 M\303\251todo: EQUA\303\207\303\203O DO MOVIMENTO DERIVADA A PARTIR DA A\303\207\303\203O S = 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\316\264S = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2L1ErJkludGVncmFsO0YnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZILUYsNjBRIn5GJy8lJ2ZhbWlseUdRMUFyaWFsflVuaWNvZGV+TVNGJ0YvRjJGNS9GOFEmZmFsc2VGJy9GO0ZSL0Y9RlIvRj9GUi9GQUZSL0ZDRlIvRkVGUkZGRkktRiw2L1EwJkRpZmZlcmVudGlhbEQ7RidGL0YyRjVGN0Y6L0Y9RjlGPi9GQUY5RkJGREZGRkktSSVtc3VwR0YkNiUtSSNtaUdGJDYjUSFGJy1GIzYnLUYsNi9GTUYvRjJGNUZRRlNGVEZVRlZGV0ZYRkZGSS1JI21uR0YkNiZRIjRGJ0YvRjJGNUYvRjJGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRlxvNihRInhGJ0ZORi8vJSdpdGFsaWNHRjEvRjNRLGJvbGQtaXRhbGljRidGNUZLLUYsNjBRIltGJ0ZORi9GMkY1L0Y4RjFGU0Y8RlVGVkZXRlgvRkdRLDAuMTY2NjY2N2VtRicvRkpGZnBGL0YyRjU=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtSSNtb0dGJDYvUSsmUGFydGlhbEQ7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y7LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk8tRiM2KC1GMzYwUSJ+RicvJSdmYW1pbHlHUTFBcmlhbH5Vbmljb2Rlfk1TRidGNkY5RjxGPkZBRkNGRUZHRklGS0ZNRlAtRiw2KFElJm11O0YnRldGNi8lJ2l0YWxpY0dGQEY5RjxGK0Y2RjlGPC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNkY5Rjw=LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiRkYnLyUnZmFtaWx5R1ExQXJpYWx+VW5pY29kZX5NU0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotSSVtcm93R0YkNiYtRiw2KFEpJm11OyZudTtGJ0YvRjJGNUY4RjtGMkY4RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==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

Dada a Lagrangeana LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2JkYuLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGOS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjRGN0Y6 =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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2L1EifkYnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZIRi9GMkY1 + LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiSkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2Ji1GLzYnUSgmYWxwaGE7RidGMkY1RjhGO0YyRjhGOy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUklbXN1cEdGJDYlLUYvNidRIkFGJ0YyRjVGOEY7Rj0vJTFzdXBlcnNjcmlwdHNoaWZ0R0ZERjJGOEY7JSFH Calcular a equa\303\247\303\243o do movimento(MV)u tilizando a defini\303\247\303\243o de A\303\247\303\243o (S) e o comando "Fundiff" 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 - LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2MFErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjwvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1JJW1yb3dHRiQ2Jy1JI21pR0YkNidRJyYjOTU3O0YnRi9GMkY0RjdGL0YyRjRGNy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn 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 = 0 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 JSFH restart;JSFH with (Physics): Define(F,J,A,Lk,Lc);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PC1JIkFHNiJJIkZHRiRJIkpHRiRJI0xjR0YkSSNMa0dGJCZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLEkoUGh5c2ljc0c2JEYsSShfc3lzbGliR0YkL0kxaGlkZW1vZHVsZXByZWZpeEdGJEkldHJ1ZUdGLDYjSSNtdUdGJCZJI2dfR0YrNiRJI251R0YkRjYmSSZnYW1tYUdRUkM6XEFycXVpdm9zfmRlfnByb2dyYW1hc1xNYXBsZX4xNC9saWJcUGh5c2ljcy5tbGFGJEY1Jkkmc2lnbWFHRj1GNSZJKGVwc2lsb25HRj02JkkmYWxwaGFHRiRJJWJldGFHRiRGOkY2JkkmZGVsdGFHRj1GOQ==

#Define(F,antisymmetric); Coordinates(X,Y);

SU5TeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclgsfll8aHJ+RzYi

PCRJIlhHNiJJIllHRiQ=

PDEtools:-declare( A[alpha](X));

KigtSSJBRzYiNiZJI3gxR0YlSSN4MkdGJUkjeDNHRiVJI3g0R0YlIiIiSTl3aWxsfm5vd35iZX5kaXNwbGF5ZWR+YXNHRiVGK0YkRis=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

F[alpha,beta]:= d_[alpha](A[beta](X)) - d_[beta](A[alpha](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJJmFscGhhR0YtNiQtJkkiQUdGLTYjSSViZXRhR0YtNiNJIlhHRi03I0Y6IiIiLSZGJUY3NiQtJkY2RjFGOUY7ISIi

Lk:= -1/4*(F[alpha,beta]*F[alpha,beta]);

LCQqJiMiIiIiIiVGJSksJi0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRi1JKFBoeXNpY3NHNiRGLUkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRjNJJXRydWVHRi02I0kmYWxwaGFHRjM2JC0mSSJBR0YzNiNJJWJldGFHRjM2I0kiWEdGMzcjRkBGJS0mRitGPTYkLSZGPEY3Rj9GQSEiIiIiI0YlRkc=

S1 := Intc(Lk, X);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JC1GIzYkLUYjNiQsJComIyIiIiIiJUYyKSwmLSZJI2RfRzYlRiUvSShwYWNrYWdlR0YlSShQaHlzaWNzR0YkL0kxaGlkZW1vZHVsZXByZWZpeEdGJ0kldHJ1ZUdGJTYjSSZhbHBoYUdGJzYkLSZJIkFHRic2I0klYmV0YUdGJzYjSSJYR0YnNyNGSUYyLSZGOEZGNiQtJkZFRkBGSEZKISIiIiIjRjJGUC9JI3gxR0YnOywkSSlpbmZpbml0eUdGJUZQRlYvSSN4MkdGJ0ZUL0kjeDNHRidGVC9JI3g0R0YnRlQ=

Fundiff(S1,A[mu](Y));

LCYqJiwmKiYjIiIiIiIjRictJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YtSShQaHlzaWNzRzYkRi1JKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YzSSV0cnVlR0YtNiNJJmFscGhhR0YzNiQtJkYrNiNJJWJldGFHRjM2JC0mSSJBR0YzRjw2I0kiWUdGMzcjRkNGREYnISIiKiZGJkYnLUktZEFsZW1iZXJ0aWFuR0YsNiQtJkZBRjdGQkZERidGJ0YnJkkjZ19HRiw2JEY4SSNtdUdGM0YnRicqJiwmKiZGJkYnLUZIRj5GJ0YnKiZGJkYnLUYqNiQtRjtGSUZERidGRUYnJkZNNiRGPUZPRidGJw==

Simplify(%);

LCYtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJZR0YsNyNGNyIiIi0mSSNkX0dGJTYjSSZhbHBoYUdGLDYkLSZGPEY0NiQtJkYzRj1GNkY4RjghIiI=

S1F:=subs(Y = X, %);

LCYtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJTYjSSZhbHBoYUdGLDYkLSZGPEY0NiQtJkYzRj1GNkY4RjghIiI=

Lc:= J[alpha](X)*A[alpha](X);

KiYtJkkiSkc2IjYjSSZhbHBoYUdGJjYjSSJYR0YmIiIiLSZJIkFHRiZGJ0YpRis=

S2 := Intc(Lc, X);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JC1GIzYkLUYjNiQqJi0mSSJKR0YnNiNJJmFscGhhR0YnNiNJIlhHRiciIiItJkkiQUdGJ0YzRjVGNy9JI3gxR0YnOywkSSlpbmZpbml0eUdGJSEiIkY/L0kjeDJHRidGPS9JI3gzR0YnRj0vSSN4NEdGJ0Y9

Fundiff(S2,A[mu](Y));

KiYtJkkiSkc2IjYjSSZhbHBoYUdGJjYjSSJZR0YmIiIiJkkjZ19HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiYvSTFoaWRlbW9kdWxlcHJlZml4R0YmSSV0cnVlR0YvNiRGKEkjbXVHRiZGKw==

Simplify(%);

LSZJIkpHNiI2I0kjbXVHRiU2I0kiWUdGJQ==

S2F:=subs(Y = X, %);

LSZJIkpHNiI2I0kjbXVHRiU2I0kiWEdGJQ==

Solu\303\247\303\243o Final MV = S1F + S2F S1F+S2F;

LCgtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJTYjSSZhbHBoYUdGLDYkLSZGPEY0NiQtJkYzRj1GNkY4RjghIiItJkkiSkdGLEY0RjZGOQ==

MV:=subs(alpha=nu,%);

LCgtSS1kQWxlbWJlcnRpYW5HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YmSShQaHlzaWNzRzYkRiZJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YsSSV0cnVlR0YmNiQtJkkiQUdGLDYjSSNtdUdGLDYjSSJYR0YsNyNGNyIiIi0mSSNkX0dGJTYjSSNudUdGLDYkLSZGPEY0NiQtJkYzRj1GNkY4RjghIiItJkkiSkdGLEY0RjZGOQ==

RESUMO Atrav\303\251s destes c\303\241lculos obtemos as seguintes equa\303\247\303\265es de Maxwell: 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 JSFH

Conforme foi mostrado, anteriormente, as equa\303\247\303\265es de movimento podem ser obtidas atrav\303\251s da Lagrangeana do sistema. \303\211 poss\303\255vel tamb\303\251m, obter as equa\303\247\303\265es atrav\303\251s das chamadas Identidades de Bianchi. As equa\303\247\303\265es de um sistema f\303\255sico s\303\243o encontradas atrav\303\251s da Lagrangeana e da Identidades de Bianchi. 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+ 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 + 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 + 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 = 0 onde 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 = 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 = 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 Deste modo desenvolvendo para os outros termos obtemos a seguinte equa\303\247\303\243o: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbW9HRiQ2L1ErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPC8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZLLUYjNiYtSSNtaUdGJDYnUSUmbXU7RidGMi8lJ2l0YWxpY0dGPEY1RjhGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjVGOA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2Ji1GLzYnUS0mIzk1NzsmIzk2MTtGJ0YyRjVGOEY7RjJGOEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSIrRidGMkY4RjsvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZZRjJGOEY7LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2L1EifkYnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZILUklbXN1YkdGJDYlLUYsNi9RKyZQYXJ0aWFsRDtGJ0YvRjJGNUY3RjpGPEY+RkBGQkZERkZGSS1GIzYkLUkjbWlHRiQ2J1EnJiM5NjE7RidGLy8lJ2l0YWxpY0dGOUYyRjUvRjNRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGL0YyRjU=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0tRiM2JC1GLDYnUS0mIzk1NjsmIzk1NztGJ0Y1RjhGO0Y+L0Y8USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2L1EiK0YnRjVGO0Y+LyUmZmVuY2VHRjovJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGaG5GNUY7Rj4=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtSSNtb0dGJDYvUSsmUGFydGlhbEQ7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y7LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk8tRiM2JC1GLDYnUScmIzk1NztGJ0Y2LyUnaXRhbGljR0ZARjlGPC9GOlEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y2RjlGPA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjotRiM2Ji1GLzYnUS0mIzk2MTsmIzk1NjtGJ0YyRjVGOEY7RjJGOEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSI9RidGMkY4RjsvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZZLUZGNi9RIn5GJ0YyRjhGO0ZJRktGTUZPRlFGU0ZVL0ZYUSYwLjBlbUYnL0ZlbkZqbi1JI21uR0YkNiZGREYyRjhGO0ZmbkYyRjhGOw==

Identidade de Bianchi: [A, [B,C] ]+[C,[A,B] ]+[B,[C,A] ] = 0 [A, BC - CB] = ABC - BCA - ACB + CBA = 0 [C, AB - BA] = CAB - ABC - CBA + BAC = 0 [B, CA - AC] = BCA - CAB - BAC + ACB = 0 Reescrever a identidade acima em termos da derivada covariante definida como: JSFH 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2L1EiPUYnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZILUYsNi9RIn5GJ0YvRjJGNUY3RjpGPEY+RkBGQkZEL0ZHUSYwLjBlbUYnL0ZKRk9GL0YyRjU= 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUklbXN1YkdGJDYlLUkjbW9HRiQ2L1EoJm5hYmxhO0YnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPC8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xMTExMTExZW1GJy1GIzYkLUkjbWlHRiQ2J1EnJiM5NjE7RidGMi8lJ2l0YWxpY0dGPEY1RjgvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82LVEiPUYnRldGOkY9Rj9GQUZDRkVGRy9GSlEsMC4yNzc3Nzc4ZW1GJy9GTUZqbi1GLzYtUSJ+RidGV0Y6Rj1GP0ZBRkNGRUZHRkkvRk1GSy1JJm1vdmVyR0YkNiUtRiM2JS1GLzYvRl5vRjJGNUY4RjpGPUY/RkFGQ0ZFRkdGSUZfby1GLDYlLUYvNi9RKyZQYXJ0aWFsRDtGJ0YyRjVGOEY6Rj1GP0ZBRkNGRUZHRklGX29GT0ZZRlctRiM2JC1GUjYjUSFGJ0ZXL0ZIRjQtRi82LVEiK0YnRldGOkY9Rj9GQUZDRkVGRy9GSlEsMC4yMjIyMjIyZW1GJy9GTUZmcEZcby1GLDYlLUZSNidRIkFGJ0YyRlVGNUY4Rk9GWUZlby1GLzYtUSomSW1wbGllcztGJ0ZXRjpGPS9GQEY0RkFGQ0ZFRkdGaW5GW28tRiw2JS1GUjYnUSJIRidGMkZVRjVGOC1GIzYmRlFGMkY1RjhGWUZlb0YyRjVGOA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2L1EiPUYnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZILUYsNi9RIn5GJ0YvRjJGNUY3RjpGPEY+RkBGQkZEL0ZHUSYwLjBlbUYnL0ZKRk9GL0YyRjU= 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 Calcular: 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+ 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0 1)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 restart;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= with (Physics): LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= with(Physics[Vectors]);

NzFJIyZ4RzYiSSIrRyUqcHJvdGVjdGVkR0kiLkc2JEYmSShfc3lzbGliR0YkSSxDaGFuZ2VCYXNpc0dGJEkqQ29tcG9uZW50R0YkSSVDdXJsR0YkSTBEaXJlY3Rpb25hbERpZmZHRiRJK0RpdmVyZ2VuY2VHRiRJKUdyYWRpZW50R0YkSSlJZGVudGlmeUdGJEkqTGFwbGFjaWFuR0YkSSZOYWJsYUdGJEklTm9ybUdGKEkmU2V0dXBHRiRJK1ZlY3RvckRpZmZHRiQ=

#Setup(signature = `+`); Define(A,symmetric);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PClJIkFHNiImSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRihJKFBoeXNpY3NHNiRGKEkoX3N5c2xpYkdGJC9JMWhpZGVtb2R1bGVwcmVmaXhHRiRJJXRydWVHRig2I0kjbXVHRiQmSSNnX0dGJzYkSSNudUdGJEYyJkknRGdhbW1hRzYmRigvSSttb2R1bGVuYW1lR0YkRitGKUYuRjEmSSdQc2lnbWFHNidGKEYoRjpGKUYuRjEmSStMZXZpQ2l2aXRhR0Y5NiZJJmFscGhhR0YkSSViZXRhR0YkRjZGMiZJL0tyb25lY2tlckRlbHRhR0Y5RjU=

Setup(mathematicalnotation = true);

NyMvSTVtYXRoZW1hdGljYWxub3RhdGlvbkc2IkkldHJ1ZUclKnByb3RlY3RlZEc=

Coordinates(X);

SUtTeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclh8aHJ+RzYi

PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMtSSI9RyUqcHJvdGVjdGVkRzYkSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Setup(noncommutativeprefix = A);

NyMvSTVub25jb21tdXRhdGl2ZXByZWZpeEc2IjwjSSJBRzYi

C\303\241lculo 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 \316\246 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 \316\246 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Commutator(\342\210\207[mu],\342\210\207[nu]):=%Commutator(d_[mu]+(A[mu]),d_[nu]+(A[nu]));

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

Commutator(\342\210\207[mu],\342\210\207[nu]):=%Commutator(d_[mu],d_[nu])+%Commutator(d_[mu],A[nu])+%Commutator(A[mu],d_[nu])+%Commutator(A[mu],A[nu]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2,T3 eT4 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[mu],d_[nu])*Phi(X);

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

T1:=expand(Commutator(d_[mu],d_[nu])*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKCIiITcjRi4=

T2:=%Commutator(d_[mu],A[nu])*(Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSVtc3ViRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2Ji1JKG1mZW5jZWRHRjU2Jy1JJW1yb3dHRjU2Iy1GPTYlLUY0NiQtSSNtaUdGNTYjUSNkX0YoLUZENiNRJSZtdTtGKC1JI21vR0Y1NiNRKCZjb21tYTtGKC1GNDYkLUZENiRRIkFGKC9JK2ZvcmVncm91bmRHRihRJm9saXZlRigtRkQ2I1ElJm51O0YoL0klb3BlbkdGJVEnJmxzcWI7RigvSSZjbG9zZUdGJVEnJnJzcWI7RigvSSttc2VtYW50aWNzR0Y1UTJQaHlzaWNzQ29tbXV0YXRvckYoL0kwZGlzcGxheWlkZW50aXR5R0YoUSd1bmlxdWVGKC1GSzYjUSgmbWludXM7RihGaW5GXG8tSSRQaGlHRig2I0kiWEdGKDcjLUYvNiQtSSwlQ29tbXV0YXRvckdGKDYkJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRigmSSJBR0YoNiNJI251R0YoRmJv

T2:=d_[mu](A[nu](X)*Phi(X))-(A[nu](X))*d_[mu](Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJBR0YoNiNJI251R0YoNiNJIlhHRig3I0ZFLUkkUGhpR0YoRkQ3I0Yu

T3:=%Commutator(A[mu],d_[nu])*(Phi(X));

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

T3:=(A[mu](X))*d_[nu](Phi(X))-d_[nu](A[mu](X)*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUM0dGKC1JIi1HRiU2Iy1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbnVHRig2JC0mSSJBR0YoNiNJI211R0YoNiNJIlhHRig3I0ZILUkkUGhpR0YoRkc3I0Yu

T4:=%Commutator(A[mu],A[nu])*(Phi(X));

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

T4:=expand((Commutator(A[mu],A[nu]))*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSRQaGlHRig2I0kiWEdGKC1JIipHNiZGJi9JK21vZHVsZW5hbWVHRihGMy9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2JCZJIkFHRig2I0kjbXVHRigmRkY2I0kjbnVHRigtRjI2JEY2LUY7NiRGSUZFNyNGLg==

T4 := Physics[Vectors][`+`](Physics[`*`](Phi(X), Physics[`*`](A[nu], A[mu])), -Physics[`*`](Phi(X), Physics[`*`](A[nu], A[mu])));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: SF = 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\316\246JSFH= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSkmbXU7Jm51O0YnRjJGNUY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnRjJGNUY1 SF:= T1+T2+T3+T4;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJBR0YoNiNJI251R0YoNiNJIlhHRig3I0ZILUkkUGhpR0YoRkctRjI2JC0mRjhGRTYkLSZGREY/RkdGSUZKNyNGLg==

SF:=collect(%,Phi);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSItR0YlNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJBR0YoNiNJI251R0YoNiNJIlhHRig3I0ZILSZGOEZFNiQtJkZERj9GR0ZJLUkkUGhpR0YoRkc3I0Yu

Define(F,redo);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM8K0kiRkdGKCZJIlhHRig2I0kjbXVHRigmSSNkX0c2JUYmL0kocGFja2FnZUdGJkkoUGh5c2ljc0dGJS9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiZGMCZJI2dfR0Y0NiRJI251R0YoRjEmSSdEZ2FtbWFHNiZGJi9JK21vZHVsZW5hbWVHRihGN0Y1RjhGMCZJJ1BzaWdtYUc2J0YmRiZGQkY1RjhGMCZJK0xldmlDaXZpdGFHRkE2JkkmYWxwaGFHRihJJWJldGFHRihGPkYxJkkvS3JvbmVja2VyRGVsdGFHRkFGPS0mSSJBR0YoRjA2I0YvNyM8K0YtRjJGO0Y/RkRGR0ZMRk4tJkkwU3BhY2VUaW1lVmVjdG9yR0Y0RjBGUQ==

SF:=F[mu, nu]*Phi(X);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQmSSJGR0YoNiRJI211R0YoSSNudUdGKC1JJFBoaUdGKDYjSSJYR0YoNyNGLg==

Commutator(\342\210\207[mu],\342\210\207[nu]):=F[mu, nu];

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+LUklbXN1Ykc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiYtSShtZmVuY2VkR0YvNictSSVtcm93R0YvNiMtRjc2JS1GLjYkLUkjbWlHRi82I1EqYCZuYWJsYTtgRigtRj42I1ElJm11O0YoLUkjbW9HRi82I1EoJmNvbW1hO0YoLUYuNiRGPS1GPjYjUSUmbnU7RigvSSVvcGVuR0YlUScmbHNxYjtGKC9JJmNsb3NlR0YlUScmcnNxYjtGKC9JK21zZW1hbnRpY3NHRi9RMlBoeXNpY3NDb21tdXRhdG9yRigvSTBkaXNwbGF5aWRlbnRpdHlHRihRJ3VuaXF1ZUYoLUZFNiNRKCZtaW51cztGKEZTRlYmSSJGR0YoNiRJI211R0YoSSNudUdGKDcjRmZu

C\303\241lculo 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 = 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= = 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 Commutator(\342\210\207[rho],F[mu, nu]):=%Commutator(d_[rho],F[mu, nu])+%Commutator(A[rho],F[mu, nu]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[rho],F[mu, nu])*Phi(X);

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

T1:=d_[rho](F[mu, nu](X)*Phi(X))-(F[mu, nu](X))*d_[rho](Phi(X));;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiRkdGKDYkSSNtdUdGKEkjbnVHRig2I0kiWEdGKDcjRkYtSSRQaGlHRihGRTcjRi4=

T2:=%Commutator(A[rho],F[mu, nu])*Phi(X);

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

T2:=expand((Commutator(A[rho],F[mu, nu])*Phi(X)));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: SF1 = 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\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYuUSJ+RicvJSVzaXplR1EjMTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjsvJSlzdHJldGNoeUdGOy8lKnN5bW1ldHJpY0dGOy8lKGxhcmdlb3BHRjsvJS5tb3ZhYmxlbGltaXRzR0Y7LyUnYWNjZW50R0Y7LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSi1JJW1zdWJHRiQ2JS1GMDYtUSsmUGFydGlhbEQ7RidGNkY5RjxGPkZARkJGREZGRkhGSy1GIzYkLUYsNiVRJyYjOTYxO0YnLyUnaXRhbGljR0Y7RjZGNi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjY=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSkmbXU7Jm51O0YnRjJGNUY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnRjJGNUY1 SF:= T1+T2;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiRkdGKDYkSSNtdUdGKEkjbnVHRig2I0kiWEdGKDcjRkYtSSRQaGlHRihGRTcjRi4=

Commutator(\342\210\207[rho],F[mu, nu]):=Physics[`*`](Physics:-d_[rho](F[mu, nu](X)));

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

SF1:=%;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTRjFHRigtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHRiUvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YmNiNJJHJob0dGJjYkLSZJIkZHRig2JEkjbXVHRihJI251R0YoNiNJIlhHRig3I0ZCNyNGLg==

2)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 C\303\241lculo 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 \316\246 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 \316\246 JSFH Commutator(\342\210\207[nu],\342\210\207[rho]):=%Commutator(d_[nu]+(A[nu]),d_[rho]+(A[rho]));

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

Commutator(\342\210\207[nu],\342\210\207[rho]):=%Commutator(d_[nu],d_[rho])+%Commutator(d_[nu],A[rho])+%Commutator(A[nu],d_[rho])+%Commutator(A[nu],A[rho]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2,T3 eT4 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[nu],d_[rho])*Phi(X);

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

T1:=expand(Commutator(d_[nu],d_[rho])*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKCIiITcjRi4=

T2:=%Commutator(d_[nu],A[rho])*(Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSVtc3ViRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2Ji1JKG1mZW5jZWRHRjU2Jy1JJW1yb3dHRjU2Iy1GPTYlLUY0NiQtSSNtaUdGNTYjUSNkX0YoLUZENiNRJSZudTtGKC1JI21vR0Y1NiNRKCZjb21tYTtGKC1GNDYkLUZENiRRIkFGKC9JK2ZvcmVncm91bmRHRihRJm9saXZlRigtRkQ2I1EmJnJobztGKC9JJW9wZW5HRiVRJyZsc3FiO0YoL0kmY2xvc2VHRiVRJyZyc3FiO0YoL0krbXNlbWFudGljc0dGNVEyUGh5c2ljc0NvbW11dGF0b3JGKC9JMGRpc3BsYXlpZGVudGl0eUdGKFEndW5pcXVlRigtRks2I1EoJm1pbnVzO0YoRmluRlxvLUkkUGhpR0YoNiNJIlhHRig3Iy1GLzYkLUksJUNvbW11dGF0b3JHRig2JCZJI2RfRzYlRiYvSShwYWNrYWdlR0YmRjAvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YmNiNJI251R0YoJkkiQUdGKDYjSSRyaG9HRiZGYm8=

T2:=d_[nu](A[rho](X)*Phi(X))-(A[rho](X))*d_[nu](Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbnVHRig2JC0mSSJBR0YoNiNJJHJob0dGJjYjSSJYR0YoNyNGRS1JJFBoaUdGKEZENyNGLg==

T3:=%Commutator(A[nu],d_[rho])*(Phi(X));

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

T3:=(A[nu](X))*d_[rho](Phi(X))-d_[rho](A[nu](X)*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUM0dGKC1JIi1HRiU2Iy1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiQUdGKDYjSSNudUdGKDYjSSJYR0YoNyNGSC1JJFBoaUdGKEZHNyNGLg==

T4:=%Commutator(A[nu],A[rho])*(Phi(X));

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

T4:=expand((Commutator(A[nu],A[rho]))*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSRQaGlHRig2I0kiWEdGKC1JIipHNiZGJi9JK21vZHVsZW5hbWVHRihGMy9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2JCZJIkFHRig2I0kjbnVHRigmRkY2I0kkcmhvR0YmLUYyNiRGNi1GOzYkRklGRTcjRi4=

T4 := Physics[Vectors][`+`](Physics[`*`](Phi(X), Physics[`*`](A[rho], A[nu])), -Physics[`*`](Phi(X), Physics[`*`](A[rho], A[nu])));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: SF 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 \316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1GLzYlUScmIzk1NztGJ0YyRjUtRi82JlEnJiM5NjE7RicvJSdmYW1pbHlHUShWZXJkYW5hRidGMkY1RjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYmUSYmUGhpO0YnLyUlc2l6ZUdRIzE0RidGMkY1RjU= SF:= T1+T2+T3+T4;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbnVHRig2JC0mSSJBR0YoNiNJJHJob0dGJjYjSSJYR0YoNyNGSC1JJFBoaUdGKEZHLUYyNiQtJkY4RkU2JC0mRkRGP0ZHRklGSjcjRi4=

SF:=collect(%,Phi);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSItR0YlNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbnVHRig2JC0mSSJBR0YoNiNJJHJob0dGJjYjSSJYR0YoNyNGSC0mRjhGRTYkLSZGREY/RkdGSS1JJFBoaUdGKEZHNyNGLg==

Define(F,redo);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM8K0kiRkdGKCZJIlhHRig2I0kjbXVHRigmSSNkX0c2JUYmL0kocGFja2FnZUdGJkkoUGh5c2ljc0dGJS9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiZGMCZJI2dfR0Y0NiRJI251R0YoRjEmSSdEZ2FtbWFHNiZGJi9JK21vZHVsZW5hbWVHRihGN0Y1RjhGMCZJJ1BzaWdtYUc2J0YmRiZGQkY1RjhGMCZJK0xldmlDaXZpdGFHRkE2JkkmYWxwaGFHRihJJWJldGFHRihGPkYxJkkvS3JvbmVja2VyRGVsdGFHRkFGPS0mSSJBR0YoRjA2I0YvNyM8K0YtRjJGO0Y/RkRGR0ZMRk4tJkkwU3BhY2VUaW1lVmVjdG9yR0Y0RjBGUQ==

SF:=F[nu,rho]*Phi(X);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQmSSJGR0YoNiRJI251R0YoSSRyaG9HRiYtSSRQaGlHRig2I0kiWEdGKDcjRi4=

Commutator(\342\210\207[mu],\342\210\207[nu]):=F[nu,rho];

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+LUklbXN1Ykc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiYtSShtZmVuY2VkR0YvNictSSVtcm93R0YvNiMtRjc2JS1GLjYkLUkjbWlHRi82I1EqYCZuYWJsYTtgRigtRj42I1ElJm11O0YoLUkjbW9HRi82I1EoJmNvbW1hO0YoLUYuNiRGPS1GPjYjUSUmbnU7RigvSSVvcGVuR0YlUScmbHNxYjtGKC9JJmNsb3NlR0YlUScmcnNxYjtGKC9JK21zZW1hbnRpY3NHRi9RMlBoeXNpY3NDb21tdXRhdG9yRigvSTBkaXNwbGF5aWRlbnRpdHlHRihRJ3VuaXF1ZUYoLUZFNiNRKCZtaW51cztGKEZTRlYmSSJGR0YoNiRJI251R0YoSSRyaG9HRiY3I0Zmbg==

C\303\241lculo 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 = 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUkobWZlbmNlZEdGJDYnLUYjNigtSSVtc3ViR0YkNiUtSSNtb0dGJDYuUSgmbmFibGE7RicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjExMTExMTFlbUYnLUYjNiUtRiw2JVEnJiM5NTY7RicvJSdpdGFsaWNHRkVGQEY9RkAvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GOjYuUSIsRidGPUZARkMvRkdRJXRydWVGJ0ZIRkpGTEZORlBGUi9GVlEsMC4zMzMzMzMzZW1GJy1GOjYuUSJ+RidGPUZARkNGRkZIRkpGTEZORlBGUi9GVkZULUY3NiUtRiw2JVEiRkYnRmduRkAtRiM2JS1GLDYlUSUmbnU7RidGZ25GQC1GLDYmUScmIzk2MTtGJ0Y9RmduRkBGQEZpbkY9RkBGPUZALyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRj1GQEYrRkA= LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= = 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 Commutator(\342\210\207[mu],F[nu, rho]):=%Commutator(d_[mu],F[nu,rho])+%Commutator(A[mu],F[nu,rho]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[mu],F[nu,rho])*Phi(X);

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

T1:=d_[mu](F[nu,rho](X)*Phi(X))-(F[nu,rho](X))*d_[mu](Phi(X));;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJGR0YoNiRJI251R0YoSSRyaG9HRiY2I0kiWEdGKDcjRkYtSSRQaGlHRihGRTcjRi4=

T2:=%Commutator(A[mu],F[nu,rho])*Phi(X);

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

T2:=expand((Commutator(A[mu],F[nu,rho])*Phi(X)));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: SF = 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JSFH= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEifkYnLyUlc2l6ZUdRIzE0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkYtSSVtc3ViR0YkNiUtRiw2LVErJlBhcnRpYWxEO0YnRjJGNUY4RjpGPEY+RkBGQkZERkctRiM2JC1JI21pR0YkNiVRJyYjOTU2O0YnLyUnaXRhbGljR0Y3RjJGMi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiVGKy1JJW1zdWJHRiQ2JS1GLDYlUSJGRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYsNiVRJSZudTtGJ0Y5RjwtRiw2JlEnJiM5NjE7RicvJSdmYW1pbHlHUShWZXJkYW5hRidGOUY8RjwvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y8RitGPC1GLDYmUSYmUGhpO0YnLyUlc2l6ZUdRIzE0RidGOUY8Rjw= SF:= T1+T2;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJGR0YoNiRJI251R0YoSSRyaG9HRiY2I0kiWEdGKDcjRkYtSSRQaGlHRihGRTcjRi4=

Commutator(\342\210\207[mu],F[nu,rho]):=Physics[`*`](Physics:-d_[mu](F[nu,rho](X)));

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

SF2:=%;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTRjJHRigtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHRiUvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YmNiNJI211R0YoNiQtJkkiRkdGKDYkSSNudUdGKEkkcmhvR0YmNiNJIlhHRig3I0ZCNyNGLg==

3)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 C\303\241lculo 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 \316\246 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 \316\246 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Commutator(\342\210\207[rho],\342\210\207[mu]):=%Commutator(d_[rho]+(A[rho]),d_[mu]+(A[mu]));

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

Commutator(\342\210\207[rho],\342\210\207[mu]):=%Commutator(d_[rho],d_[mu])+%Commutator(d_[rho],A[mu])+%Commutator(A[rho],d_[mu])+%Commutator(A[rho],A[mu]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2,T3 eT4 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[rho],d_[mu])*Phi(X);

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

T1:=expand(Commutator(d_[rho],d_[mu])*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKCIiITcjRi4=

T2:=%Commutator(d_[rho],A[mu])*(Phi(X));

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

T2:=d_[rho](A[mu](X)*Phi(X))-(A[mu](X))*d_[rho](Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiQUdGKDYjSSNtdUdGKDYjSSJYR0YoNyNGRS1JJFBoaUdGKEZENyNGLg==

T3:=%Commutator(A[rho],d_[mu])*(Phi(X));

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

T3:=(A[rho](X))*d_[mu](Phi(X))-d_[mu](A[rho](X)*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUM0dGKC1JIi1HRiU2Iy1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbXVHRig2JC0mSSJBR0YoNiNJJHJob0dGJjYjSSJYR0YoNyNGSC1JJFBoaUdGKEZHNyNGLg==

T4:=%Commutator(A[rho],A[mu])*(Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSVtc3ViRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2Ji1JKG1mZW5jZWRHRjU2Jy1JJW1yb3dHRjU2Iy1GPTYlLUY0NiQtSSNtaUdGNTYkUSJBRigvSStmb3JlZ3JvdW5kR0YoUSZvbGl2ZUYoLUZENiNRJiZyaG87RigtSSNtb0dGNTYjUSgmY29tbWE7RigtRjQ2JEZDLUZENiNRJSZtdTtGKC9JJW9wZW5HRiVRJyZsc3FiO0YoL0kmY2xvc2VHRiVRJyZyc3FiO0YoL0krbXNlbWFudGljc0dGNVEyUGh5c2ljc0NvbW11dGF0b3JGKC9JMGRpc3BsYXlpZGVudGl0eUdGKFEndW5pcXVlRigtRk42I1EoJm1pbnVzO0YoRmZuRmluLUkkUGhpR0YoNiNJIlhHRig3Iy1GLzYkLUksJUNvbW11dGF0b3JHRig2JCZJIkFHRig2I0kkcmhvR0YmJkZqbzYjSSNtdUdGKEZfbw==

T4:=expand((Commutator(A[rho],A[mu]))*Phi(X));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSRQaGlHRig2I0kiWEdGKC1JIipHNiZGJi9JK21vZHVsZW5hbWVHRihGMy9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2JCZJIkFHRig2I0kkcmhvR0YmJkZGNiNJI211R0YoLUYyNiRGNi1GOzYkRklGRTcjRi4=

T4 := Physics[Vectors][`+`](Physics[`*`](Phi(X), Physics[`*`](A[mu], A[rho])), -Physics[`*`](Phi(X), Physics[`*`](A[mu], A[rho])));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUNEdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: 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 \316\246 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 \316\246 SF 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 \316\246JSFH= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1GLzYmUScmIzk2MTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJ0YyRjUtRi82JVEnJiM5NTY7RidGMkY1RjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYmUSYmUGhpO0YnLyUlc2l6ZUdRIzE0RidGMkY1RjU= SF:= T1+T2+T3+T4;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1JIi1HRiU2JC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMy9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiQUdGKDYjSSNtdUdGKDYjSSJYR0YoNyNGSC1JJFBoaUdGKEZHLUYyNiQtJkY4RkU2JC0mRkRGP0ZHRklGSjcjRi4=

SF:=collect(%,Phi);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtSSItR0YlNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiQUdGKDYjSSNtdUdGKDYjSSJYR0YoNyNGSC0mRjhGRTYkLSZGREY/RkdGSS1JJFBoaUdGKEZHNyNGLg==

Define(F,redo);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM8K0kiRkdGKCZJIlhHRig2I0kjbXVHRigmSSNkX0c2JUYmL0kocGFja2FnZUdGJkkoUGh5c2ljc0dGJS9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiZGMCZJI2dfR0Y0NiRJI251R0YoRjEmSSdEZ2FtbWFHNiZGJi9JK21vZHVsZW5hbWVHRihGN0Y1RjhGMCZJJ1BzaWdtYUc2J0YmRiZGQkY1RjhGMCZJK0xldmlDaXZpdGFHRkE2JkkmYWxwaGFHRihJJWJldGFHRihGPkYxJkkvS3JvbmVja2VyRGVsdGFHRkFGPS0mSSJBR0YoRjA2I0YvNyM8K0YtRjJGO0Y/RkRGR0ZMRk4tJkkwU3BhY2VUaW1lVmVjdG9yR0Y0RjBGUQ==

SF:=F[rho,mu]*Phi(X);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNTRkdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQmSSJGR0YoNiRJJHJob0dGJkkjbXVHRigtSSRQaGlHRig2I0kiWEdGKDcjRi4=

Commutator(\342\210\207[rho],\342\210\207[mu]):=F[rho,mu];

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+LUklbXN1Ykc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiYtSShtZmVuY2VkR0YvNictSSVtcm93R0YvNiMtRjc2JS1GLjYkLUkjbWlHRi82I1EqYCZuYWJsYTtgRigtRj42I1EmJnJobztGKC1JI21vR0YvNiNRKCZjb21tYTtGKC1GLjYkRj0tRj42I1ElJm11O0YoL0klb3BlbkdGJVEnJmxzcWI7RigvSSZjbG9zZUdGJVEnJnJzcWI7RigvSSttc2VtYW50aWNzR0YvUTJQaHlzaWNzQ29tbXV0YXRvckYoL0kwZGlzcGxheWlkZW50aXR5R0YoUSd1bmlxdWVGKC1GRTYjUSgmbWludXM7RihGU0ZWJkkiRkdGKDYkSSRyaG9HRiZJI211R0YoNyNGZm4=

C\303\241lculo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNictRiM2KS1JJW1zdWJHRiQ2JS1JI21vR0YkNi5RKCZuYWJsYTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkMvJSlzdHJldGNoeUdGQy8lKnN5bW1ldHJpY0dGQy8lKGxhcmdlb3BHRkMvJS5tb3ZhYmxlbGltaXRzR0ZDLyUnYWNjZW50R0ZDLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictRiM2JS1GLDYmUScmIzk1NztGJ0Y7LyUnaXRhbGljR0ZDRj5GO0Y+LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjg2LlEiLEYnRjtGPkZBL0ZFUSV0cnVlRidGRkZIRkpGTEZORlAvRlRRLDAuMzMzMzMzM2VtRictRjg2LlEifkYnRjtGPkZBRkRGRkZIRkpGTEZORlAvRlRGUi1GIzYlRistRjA2Ji1GIzYnLUY1NiUtRjg2LUY6Rj5GQUZERkZGSEZKRkxGTkZQRlMtRiM2JC1GLDYmUScmIzk2MTtGJ0Y7RmVuRj5GPkZnbi1GODYtRlxvRj5GQUZdb0ZGRkhGSkZMRk5GUEZfby1GODYtRmNvRj5GQUZERkZGSEZKRkxGTkZQRmRvLUY1NiVGXXAtRiM2JC1GLDYlUScmIzk1NjtGJ0ZlbkY+Rj5GZ25GPkY+LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRj5GK0Y7Rj5GO0Y+Rl9xRmJxRjtGPg== = 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= = 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 Commutator(\342\210\207[nu],F[rho,mu]):=%Commutator(d_[nu],F[rho,mu])+%Commutator(A[nu],F[rho,mu]);

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

Para tornar solucion\303\241vel multiplicaremos cada um dos termos acima T1,T2 pelo campo LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn T1:=%Commutator(d_[nu],F[rho,mu])*Phi(X);

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

T1:=d_[nu](F[rho,mu](X)*Phi(X))-(F[rho,mu](X))*d_[nu](Phi(X));;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMUdGKC1fSShQaHlzaWNzR0YlSSIqR0YmNiQtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZGMC9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kjbnVHRig2JC0mSSJGR0YoNiRJJHJob0dGJkkjbXVHRig2I0kiWEdGKDcjRkYtSSRQaGlHRihGRTcjRi4=

T2:=%Commutator(A[nu],F[rho,mu])*Phi(X);

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

T2:=expand((Commutator(A[nu],F[rho,mu])*Phi(X)));

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUMkdGKCIiITcjRi4=

Solu\303\247\303\243o Final para: SF3 = 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEmJlBoaTtGJy8lJXNpemVHUSMxNEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= = 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic== 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JUYrLUklbXN1YkdGJDYlLUYsNiVRIkZGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiUtRiw2JlEmJnJobztGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJ0Y3RjotRiw2JVEnJiM5NTY7RidGN0Y6RjovJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6LUYsNiZRJiZQaGk7RicvJSVzaXplR1EjMTRGJ0Y3RjpGOg== SF3:= T1+T2;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTRjNHRigtX0koUGh5c2ljc0dGJUkiKkdGJjYkLSZJI2RfRzYlRiYvSShwYWNrYWdlR0YmRjAvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YmNiNJI251R0YoNiQtJkkiRkdGKDYkSSRyaG9HRiZJI211R0YoNiNJIlhHRig3I0ZGLUkkUGhpR0YoRkU3I0Yu

Commutator(\342\210\207[nu],F[rho,mu]):=Physics[`*`](Physics:-d_[nu](F[rho, mu](X)));

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

SF3:=%;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTRjNHRigtJkkjZF9HNiVGJi9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHRiUvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YmNiNJI251R0YoNiQtJkkiRkdGKDYkSSRyaG9HRiZJI211R0YoNiNJIlhHRig3I0ZCNyNGLg==

Provando que 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0 SF1+SF2+SF3 =0;

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSI9R0YmNiQtSSIrR0YoNiQtRjA2JC0mSSNkX0c2JUYmL0kocGFja2FnZUdGJkkoUGh5c2ljc0dGJS9JMWhpZGVtb2R1bGVwcmVmaXhHRihJJXRydWVHRiY2I0kkcmhvR0YmNiQtJkkiRkdGKDYkSSNtdUdGKEkjbnVHRig2I0kiWEdGKDcjRkgtJkY2NiNGRTYkLSZGQzYkRkZGP0ZHRkktJkY2NiNGRjYkLSZGQzYkRj9GRUZHRkkiIiFGKw==

JSFH RESUMO A express\303\243o 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 resulta nas seguintes equa\303\247\303\265es de Maxwell: 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSNtbkdGJDYoUSIwRicvJSVzaXplR1EjMTRGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRjgvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnL0Y8USdub3JtYWxGJw==

O formalismo Lagrangeano de teorias de campos permite a constru\303\247\303\243o de quantidades f\303\255sicas que s\303\243o conservadas. O Teorema de Noether associa \303\240 uma dada invari\303\242ncia uma lei de conserva\303\247\303\243o. Dada uma Lagrangeana 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 onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2J1EpJnZhcnBoaTtGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y6LUYjNiYtRi82KFEiaUYnLyUnZmFtaWx5R1ExQXJpYWx+VW5pY29kZX5NU0YnRjJGNUY4RjtGMkY4RjsvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2MFEifkYnRkJGMkY4RjsvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZmbkYyRjhGOw==representa um campo qualquer 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o teorema de Noether \303\251 obtido a partir da invari\303\242ncia de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EtJkxhcGxhY2V0cmY7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNy1GLDYjUSFGJ0YvRjVGOA== sob uma simetria interna. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1E0JmRlbHRhOyZMYXBsYWNldHJmO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRictSSNtb0dGJDYvUSI9RidGLy9GNUY5RjcvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUEYvRj5GNw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1GIzYrLUkjbWlHRiQ2J1EnJiM5NDg7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGPC1JI21vR0YkNi9RIn5GJ0Y0RjpGPS8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlMtRjE2J1EoJiM4NDY2O0YnRjRGN0Y6Rj0tSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdGUy8lJmRlcHRoR0Zobi8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GWjYmRmZuRmluRltvL0Zeb1ElYXV0b0YnLUYxNiNRIUYnRjRGOkY9LUYjNilGP0YwRj8tSShtc3Vic3VwR0YkNictRjE2J1EnJiM5ODE7RidGNEY3RjpGPS1GIzYnLUYxNihRImlGJy8lJ2ZhbWlseUdRMUFyaWFsflVuaWNvZGV+TVNGJ0Y0RjdGOkY9LUZANjBGQkZkcEY0RjpGPUZDRkVGR0ZJRktGTUZPRlFGVEY0RjpGPUZkby8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGW3FGNEY6Rj0vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmNxLyUpYmV2ZWxsZWRHRjlGP0YwRjRGOkY9LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkobXN1YnN1cEdGJDYnLUkjbWlHRiQ2J1EpJnZhcnBoaTtGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y6LUYjNictRi82KFEiaUYnLyUnZmFtaWx5R1ExQXJpYWx+VW5pY29kZX5NU0YnRjJGNUY4RjstSSNtb0dGJDYwUSJ+RidGQkYyRjhGOy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRllGMkY4RjstRi82I1EhRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUvc3Vic2NyaXB0c2hpZnRHRltvLUZGNi9RIitGJ0YyRjhGO0ZJRktGTUZPRlFGU0ZVL0ZYUSwwLjIyMjIyMjJlbUYnL0ZlbkZiby1GRjYvRkhGMkY4RjtGSUZLRk1GT0ZRRlNGVUZXRlotSSZtZnJhY0dGJDYoLUYjNistRkY2L1ErJlBhcnRpYWxEO0YnRjJGOEY7RklGS0ZNRk9GUUZTRlVGV0ZaRmRvLUYvNidRKCYjODQ2NjtGJ0YyRjVGOEY7LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRlkvJSZkZXB0aEdGZnAvJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRmJwNiZGZHBGZ3BGaXAvRlxxUSVhdXRvRidGZm5GMkY4RjstRiM2KkZbcEZkby1JJW1zdWJHRiQ2JUZbcC1GIzYmLUYvNidRJSZtdTtGJ0YyRjVGOEY7RjJGOEY7RlxvLUklbXN1cEdGJDYlRi4tRiM2JkY/RjJGOEY7RmluRmZuRjJGOEY7LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zmci8lKWJldmVsbGVkR0Y3RkUtRi82J1EnJiM5NDg7RidGMkY1RjhGOy1JKG1mZW5jZWRHRiQ2Ji1GIzYnRmRxRlxyRjJGOEY7RjJGOEY7RjJGOEY7 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= 0 Aplica\303\247\303\243o em Maxwell Sejam os campos: 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LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiQUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSVtcm93R0YkNiYtRiw2J1ElJm11O0YnRi9GMkY1RjhGL0Y1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi9RIixGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGOEY7Rj4vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjhGO0Y+= 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 Substituindo as transforma\303\247\303\265es infinitesimais no Teorema de Noether t\303\252m-se: \316\264 \342\204\222LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi9RIn5GJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUUY4RjtGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRi5GOEY7Rj4== LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2L1ErJlBhcnRpYWxEO0YnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOS8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZILUklbXJvd0dGJDYmLUkjbWlHRiQ2J1ElJm11O0YnRi8vJSdpdGFsaWNHRjlGMkY1Ri9GMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic=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 + 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] = 0 \316\264 \342\204\222LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi9RIn5GJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUUY4RjtGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRi5GOEY7Rj4== 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As seguintes express\303\265es independentes s\303\243o geradas: 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= 0 LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYmLUkjbW5HRiQ2JlEiMkYnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGN0YyRjVGOEYyRjVGOA== 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= 0 LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYmLUkjbW5HRiQ2JlEiM0YnLyUlYm9sZEdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGN0YyRjVGOEYyRjVGOA== Atrav\303\251s do Teorema de Noether encontra-se um conjunto de cargas conservadas.

Encontrar a lei de conserva\303\247\303\243o para as equa\303\247\303\265es de Euler-Lagrange de uma dada simetria da Lagrangeana. restart;JSFH with (Physics): Define (A,Phi1,Phi2); parameter(L,alpha); Coordinates(X); JSFH dif(Phi1):=i*alpha*Phi1; dif(Phi2):=-i*alpha*Phi2; dif(A[nu]):=d_[nu]*alpha; diff(L, d_[mu](A[nu](X))); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

C\303\241lculo do Tensor Energia-Momento 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2KFEoJnRoZXRhO0YnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQC1GIzYmLUYsNihRJSZtdTtGJ0Y1RjgvRjxGOi9GP1EsYm9sZC1pdGFsaWNGJ0ZBLUYsNihRJSZudTtGJ0Y1RjhGO0Y+RkEtSSNtb0dGJDYwUSJ+RidGNUY4Rj5GQS8lJmZlbmNlR0Y9LyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlxvL0Y/USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUZPNjBRIj1GJ0Y1RjhGPkZBRlJGVEZWRlhGWkZmbkZobi9GW29RLDAuMjc3Nzc3OGVtRicvRl5vRmhvRk4tSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYnUSIyRidGNUY4Rj5GQUZfby1GIzYmRistRiM2JkZOLUYjNiVGKy1JJm1zcXJ0R0YkNiMtRiM2JS1GTzYwUSomdW1pbnVzMDtGJ0Y1RjhGPkZBRlJGVEZWRlhGWkZmbkZobi9GW29RLDAuMjIyMjIyMmVtRicvRl5vRmJxLUYsNihRImdGJ0Y1RjhGSEZJRkFGX29GX29GK0Zfb0YrRl9vLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zcci8lKWJldmVsbGVkR0Y9LUZbcDYoLUYjNiUtRk82MVErJlBhcnRpYWxEO0YnRjVGOEZIRklGQUZSRlRGVkZYRlpGZm5GaG5Gam5GXW8tRiw2KFEiU0YnRjVGOEZIRklGQUZfby1GIzYnRmVyLUZPNjFGUUY1RjhGSEZJRkFGUkZURlZGWEZaRmZuRmhuRmpuRl1vLUklbXN1cEdGJDYlRmRxLUYjNiZGK0ZFRktGX28vJTFzdXBlcnNjcmlwdHNoaWZ0R0Zjb0ZORl9vRmdxRmpxRl1yRl9yRl9v Lagrangeana de Intera\303\247\303\243o: JSFH LLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KEYuLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y5LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjRGN0Y6RjxGPw== = 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 Procedimento operacional: Acopla-se o sistema de campos com a gravita\303\247\303\243o Procede-se ao splitting do campo gravitacional em 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 Identifica-se LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEoJnRoZXRhO0YnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGOi1JJW1yb3dHRiQ2Jy1GLDYoUSUmbXU7RidGL0YyL0Y2RjQvRjlRLGJvbGQtaXRhbGljRidGOy1GLDYoUScmIzk1NztGJ0YvRjJGNUY4RjsvJStleGVjdXRhYmxlR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==como a corrente que se acopla ao LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiaEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1JJW1yb3dHRiQ2JS1GLDYoUSUmbXU7RidGL0YyRjVGN0Y6LUYsNihRJSZudTtGJ0YvRjJGNUY3RjovRjhRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJw== Lagrangeana: LLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KEYuLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y5LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjRGN0Y6RjxGPw== = 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 A) Estudar as flutua\303\247\303\265es em torno da m\303\251trica cl\303\241ssica 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Q2 B) Utilizar (a) ,(b), (c) e (d) em L1 : L1LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KEYuLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNEY3RjpGPUZA = -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 (termos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2KFEiaEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y3LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYnLUkjbW5HRiQ2J1EiMEYnRjJGNS9GO0Y/Rj1GMkY1RkZGPS8lMXN1cGVyc2NyaXB0c2hpZnRHRkUtRi82I1EhRidGNUZGRj0=) + (termos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2KFEiaEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y6LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYmLUYsNihRLSYjOTU2OyYjOTU3O0YnRjVGOEY7Rj1GQEY4L0Y+RkJGQC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGOEZIRkA=) + (termos em 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) termos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2KFEiaEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y6LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYkLUYsNihRLSYjOTU2OyYjOTU3O0YnRjVGOEY7Rj1GQC9GPlEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkg= = 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 C) Desprezar os termos em LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KlEiaEYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrYmFja2dyb3VuZEdRLlsyNDEsMjQxLDI0MV1GJy8lJ29wYXF1ZUdGNC8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRictSSVtcm93R0YkNictSSNtbkdGJDYpUSIwRidGL0YyRjdGOi9GPUZBRj9GL0Y3RjovRj1RJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdGSA== e 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 D) Identificar LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KlEoJnRoZXRhO0YnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2JhY2tncm91bmRHUS5bMjQxLDI0MSwyNDFdRicvJSdvcGFxdWVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSSVtcm93R0YkNigtRiw2KlElJm11O0YnRi9GMi9GNkY0RjhGOy9GPlEsYm9sZC1pdGFsaWNGJ0ZALUYsNipRJSZudTtGJ0YvRjJGNUY4RjtGPUZALUkjbW9HRiQ2MlEifkYnRi9GMkY4RjtGPUZALyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGXG9GOEY7L0Y+USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnnos termos 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 Lagrangeanas Parciais: LLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KEYuLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y5LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRi5GNEY3RjpGPEY/LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2KEYuLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y5LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRi5GNEY3RjpGPEY/1 = - 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) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2KFEiRkYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y6LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUYsNihRKSZtdTsmbnU7RidGNUY4RjtGPUZARitGOEY7Rj1GQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGO0Y9RkA= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRkYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y3LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYnLUYvNihRKGsmIzk1NTtGJ0YyRjVGOEY6Rj1GNUY4RjpGPS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjVGOEY6Rj0= Q1 Q2 \342\206\222 Resultado no Physics: tf 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 = 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 Q1 = 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 Q2 = 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 Q3 = 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 Q4 = 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= restart; with(Physics): Define(L1,L2,L3,Le,L4,L5,L6,h);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDBJI0wxRzYiSSNMMkdGJEkjTDNHRiRJI0w0R0YkSSNMNUdGJEkjTDZHRiRJI0xlR0YkSSJoR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YvNiNJI211R0YkJkkjZ19HRi42JEkjbnVHRiRGOSZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjgmSSZzaWdtYUdGQEY4JkkoZXBzaWxvbkdGQDYmSSZhbHBoYUdGJEklYmV0YUdGJEY9RjkmSSZkZWx0YUdGQEY8

Define(F,antisymmetric);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJIkZHNiJJI0wxR0YkSSNMMkdGJEkjTDNHRiRJI0w0R0YkSSNMNUdGJEkjTDZHRiRJI0xlR0YkSSJoR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YwSShQaHlzaWNzRzYkRjBJKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YwNiNJI211R0YkJkkjZ19HRi82JEkjbnVHRiRGOiZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjkmSSZzaWdtYUdGQUY5JkkoZXBzaWxvbkdGQTYmSSZhbHBoYUdGJEklYmV0YUdGJEY+RjomSSZkZWx0YUdGQUY9

Parameters(k,alpha,beta,Upsilon,epsilon,m);

PChJImtHNiJJIm1HRiRJKFVwc2lsb25HRiRJJmFscGhhR0YkSSViZXRhR0YkSShlcHNpbG9uR0Yk

Coordinates(X);

SUtTeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclh8aHJ+RzYi

PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

h[alpha,alpha]:=g_[mu,nu]*h[mu,nu];

KiYmSSNnX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHNiRGJkkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRixJJXRydWVHRiY2JEkjbnVHRixJI211R0YsIiIiJkkiaEdGLDYkRjJGMUYz

P:=k/2*(h[alpha,alpha]);

LCQqKiMiIiIiIiNGJUkia0c2IkYlJkkjZ19HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YsSShQaHlzaWNzRzYkRixJKF9zeXNsaWJHRigvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YsNiRJI251R0YoSSNtdUdGKEYlJkkiaEdGKDYkRjdGNkYlRiU=

Q1:= g_[mu,kappa]-k*(h[mu,kappa]);

LCYmSSNnX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHNiRGJkkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRixJJXRydWVHRiY2JEkma2FwcGFHRixJI211R0YsIiIiKiZJImtHRixGMyZJImhHRiw2JEYyRjFGMyEiIg==

Define(h,clear);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJIkZHNiJJI0wxR0YkSSNMMkdGJEkjTDNHRiRJI0w0R0YkSSNMNUdGJEkjTDZHRiRJI0xlR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YvNiNJI211R0YkJkkjZ19HRi42JEkjbnVHRiRGOSZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjgmSSZzaWdtYUdGQEY4JkkoZXBzaWxvbkdGQDYmSSZhbHBoYUdGJEklYmV0YUdGJEY9RjkmSSZkZWx0YUdGQEY8LSZJMFNwYWNlVGltZVZlY3RvckdGLkY4NiNJIlhHRiQ=

Q2:= g_[nu,lambda]-k*(h[nu,lambda]);

LCYmSSNnX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHNiRGJkkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRixJJXRydWVHRiY2JEknbGFtYmRhR0YsSSNudUdGLCIiIiomSSJrR0YsRjMmSSJoR0YsNiRGMkYxRjMhIiI=

Define(h,clear);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJIkZHNiJJI0wxR0YkSSNMMkdGJEkjTDNHRiRJI0w0R0YkSSNMNUdGJEkjTDZHRiRJI0xlR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YvNiNJI211R0YkJkkjZ19HRi42JEkjbnVHRiRGOSZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjgmSSZzaWdtYUdGQEY4JkkoZXBzaWxvbkdGQDYmSSZhbHBoYUdGJEklYmV0YUdGJEY9RjkmSSZkZWx0YUdGQEY8LSZJMFNwYWNlVGltZVZlY3RvckdGLkY4NiNJIlhHRiQ=

Q3:= g_[mu,nu]-k*(h[mu,nu]);

LCYmSSNnX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHNiRGJkkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRixJJXRydWVHRiY2JEkjbnVHRixJI211R0YsIiIiKiZJImtHRixGMyZJImhHRiw2JEYyRjFGMyEiIg==

Define(h,clear);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJIkZHNiJJI0wxR0YkSSNMMkdGJEkjTDNHRiRJI0w0R0YkSSNMNUdGJEkjTDZHRiRJI0xlR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YvSShQaHlzaWNzRzYkRi9JKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YvNiNJI211R0YkJkkjZ19HRi42JEkjbnVHRiRGOSZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjgmSSZzaWdtYUdGQEY4JkkoZXBzaWxvbkdGQDYmSSZhbHBoYUdGJEklYmV0YUdGJEY9RjkmSSZkZWx0YUdGQEY8LSZJMFNwYWNlVGltZVZlY3RvckdGLkY4NiNJIlhHRiQ=

Q4:= g_[kappa,lambda]-k*(h[kappa,lambda]);

LCYmSSNnX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRiZJKFBoeXNpY3NHNiRGJkkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRixJJXRydWVHRiY2JEkma2FwcGFHRixJJ2xhbWJkYUdGLCIiIiomSSJrR0YsRjMmSSJoR0YsRjBGMyEiIg==

F[mu,nu]:= d_[nu](A[mu](X)) - d_[mu](A[nu](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJI251R0YtNiQtJkkiQUdGLTYjSSNtdUdGLTYjSSJYR0YtNyNGOiIiIi0mRiVGNzYkLSZGNkYxRjlGOyEiIg==

F[kappa,lambda]:= d_[kappa](A[lambda](X)) - d_[lambda](A[kappa](X));

LCYtJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiIvSTFoaWRlbW9kdWxlcHJlZml4R0YtSSV0cnVlR0YnNiNJJmthcHBhR0YtNiQtJkkiQUdGLTYjSSdsYW1iZGFHRi02I0kiWEdGLTcjRjoiIiItJkYlRjc2JC0mRjZGMUY5RjshIiI=

C\303\241lculo do L1 \342\206\222- 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) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2KFEiRkYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y6LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUYsNihRKSZtdTsmbnU7RidGNUY4RjtGPUZARitGOEY7Rj1GQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGO0Y9RkA= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRkYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y3LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYnLUYvNihRKGsmIzk1NTtGJ0YyRjVGOEY6Rj1GNUY4RjpGPS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjVGOEY6Rj0= Q1 Q2 \342\206\222 Resultado no Physics: tfJSFH L1:= -1/4*((1+P)*F[mu,nu]*F[kappa,lambda]*Q1*Q2);

LCQqLiMiIiIiIiVGJSwmRiVGJSoqI0YlIiIjRiVJImtHNiJGJSZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGMEkoUGh5c2ljc0c2JEYwSShfc3lzbGliR0YsL0kxaGlkZW1vZHVsZXByZWZpeEdGLEkldHJ1ZUdGMDYkSSNudUdGLEkjbXVHRixGJSZJImhHRiw2JEY7RjpGJUYlRiUsJi0mSSNkX0dGLzYjRjo2JC0mSSJBR0YsNiNGOzYjSSJYR0YsNyNGSkYlLSZGQkZINiQtJkZHRkNGSUZLISIiRiUsJi0mRkI2I0kma2FwcGFHRiw2JC0mRkc2I0knbGFtYmRhR0YsRklGS0YlLSZGQkZaNiQtJkZHRlVGSUZLRlFGJSwmJkYuNiRGVkY7RiUqJkYrRiUmRj02JEY7RlZGJUZRRiUsJiZGLjYkRmVuRjpGJSomRitGJSZGPTYkRjpGZW5GJUZRRiVGUQ==

expand(%);

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

nops(%);

IiNL

t:=select(has,%%,h[mu,nu]);

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

t1:=op(2,t);

LCQqMiMiIiIiIilGJSlJImtHNiIiIiNGJSZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLkkoUGh5c2ljc0c2JEYuSShfc3lzbGliR0YpL0kxaGlkZW1vZHVsZXByZWZpeEdGKUkldHJ1ZUdGLjYkSSNudUdGKUkjbXVHRilGJSZJImhHRik2JEY5RjhGJS0mSSNkX0dGLTYjRjg2JC0mSSJBR0YpNiNGOTYjSSJYR0YpNyNGR0YlLSZGPzYjSSZrYXBwYUdGKTYkLSZGRDYjSSdsYW1iZGFHRilGRkZIRiUmRiw2JEZMRjlGJSZGOzYkRjhGUUYlRiU=

t2:=op(6,t);

LCQqMiMiIiIiIilGJSlJImtHNiIiIiNGJSZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLkkoUGh5c2ljc0c2JEYuSShfc3lzbGliR0YpL0kxaGlkZW1vZHVsZXByZWZpeEdGKUkldHJ1ZUdGLjYkSSNudUdGKUkjbXVHRilGJSZJImhHRik2JEY5RjhGJS0mSSNkX0dGLTYjRjg2JC0mSSJBR0YpNiNGOTYjSSJYR0YpNyNGR0YlLSZGPzYjSSdsYW1iZGFHRik2JC0mRkQ2I0kma2FwcGFHRilGRkZIRiUmRiw2JEZRRjlGJSZGOzYkRjhGTEYlISIi

t3:=op(10,t);

LCQqMiMiIiIiIilGJSlJImtHNiIiIiNGJSZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLkkoUGh5c2ljc0c2JEYuSShfc3lzbGliR0YpL0kxaGlkZW1vZHVsZXByZWZpeEdGKUkldHJ1ZUdGLjYkSSNudUdGKUkjbXVHRilGJSZJImhHRik2JEY5RjhGJS0mSSNkX0dGLTYjRjk2JC0mSSJBR0YpNiNGODYjSSJYR0YpNyNGR0YlLSZGPzYjSSZrYXBwYUdGKTYkLSZGRDYjSSdsYW1iZGFHRilGRkZIRiUmRiw2JEZMRjlGJSZGOzYkRjhGUUYlISIi

t4:=op(13,t);

LCQqMiMiIiIiIilGJUkia0c2IkYlJkkjZ19HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YsSShQaHlzaWNzRzYkRixJKF9zeXNsaWJHRigvSTFoaWRlbW9kdWxlcHJlZml4R0YoSSV0cnVlR0YsNiRJI251R0YoSSNtdUdGKEYlJkkiaEdGKDYkRjdGNkYlLSZJI2RfR0YrNiNGNzYkLSZJIkFHRig2I0Y2NiNJIlhHRig3I0ZFRiUtJkY9NiNJJ2xhbWJkYUdGKDYkLSZGQjYjSSZrYXBwYUdGKEZERkZGJSZGKjYkRk9GN0YlJkYqNiRGSkY2RiUhIiI=

tf:=t1+t2+t3+t4;

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

collect(tf,h[mu,nu]);

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

C\303\241lculo do L2 LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2MFEnJnJhcnI7RicvJSVzaXplR1EjMTRGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGOS8lKnN5bW1ldHJpY0dGOS8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y5LyUnYWNjZW50R0Y5LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSA==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 L2:=1/(2*alpha)*(1+P)*Q3*(d_[mu](A[nu](X)))*Q4*(d_[kappa](A[lambda](X))); expand(%); v:=select(has,%,h[mu,nu]); v1:=op(1,v); v2:=op(3,v); vf:=v1+v2; collect(vf,(h[mu,nu])); C\303\241lculo do L3 LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2MFEnJnJhcnI7RicvJSVzaXplR1EjMTRGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGOS8lKnN5bW1ldHJpY0dGOS8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y5LyUnYWNjZW50R0Y5LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSA==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 L3:= (beta/2)*(1+P)*Q1*Q2(d_[mu](A[nu](X))+d_[nu](A[mu](X)))*(d_[kappa](A[lambda](X))+d_[lambda](A[kappa](X))); expand(%); r:=select(has,%,h[mu,nu]); r1:=op(1,r); r2:=op(2,r); rf:=r1+r2; collect(rf,(h[mu,nu])); simplify(%); C\303\241lculo do L4 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 L4:= (Upsilon/2)*m^2*(1+P)*Q3*A[mu](X)*A[nu](X); expand(%); s:=select(has,%,h[mu,nu]); s1:=op(1,s); s2:=op(2,s); sf:=s1+s2; collect(sf,(h[mu,nu])); simplify(%); C\303\241lculo do L5 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYlLUYjNiktSSNtbkdGJDYnUSIxRicvJSVzaXplR1EjMTRGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjwtSSNtb0dGJDYwUSIrRidGNEY3RjpGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZULUkjbWlHRiQ2KFEiUEYnRjRGNy8lJ2l0YWxpY0dGRUY6Rj1GNEY3RjpGPUY0L0Y7USdub3JtYWxGJ0Y0RjdGOkY9LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2MFEifkYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y3LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkstSSNtaUdGJDYoUSNRMUYnRi9GMi8lJ2l0YWxpY0dGPEY1RjhGKy1GTzYoUSNRMkYnRi9GMkZSRjVGOEYrRi8vRjZRJ25vcm1hbEYnLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbW9HRiQ2LlEmJkRlbDtGJy8lJXNpemVHUSMxNEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xMTExMTExZW1GJy1GIzYmLUkjbWlHRiQ2KFElJm11O0YnRjIvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0ZVL0Y2USxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GUDYjUSFGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLDYlLUZQNihRIkFGJ0YyRlNGVkZYRlotRiM2JS1GUDYoUScmIzk1NztGJ0YyRlNGVkZYRlpGMkY1RmpuLUYvNjFRIn5GJ0YyRlNGVkZYRlpGOEY7Rj1GP0ZBRkNGRUZHL0ZLRkktRiw2JUZfby1GIzYlLUZQNihRImtGJ0YyRlNGVkZYRlpGMkY1RmpuRjJGNQ== LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1JJW1yb3dHRiQ2JS1GLDYoUScmIzk1NTtGJ0YvRjJGNUY3RjpGLy9GOFEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw==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 L5:= delta*(1+P)*Q1*Q2*(d_[mu](A[nu](X)))*A[kappa](X)*(A[lambda](X)); expand(%); w:=select(has,%,h[mu,nu]); w1:=op(1,w); wf:=w1; collect(wf,(h[mu,nu])); simplify(%); C\303\241lculo do L6 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 L6:= epsilon*(1+P)*Q1*Q2*A[mu](X)*A[kappa](X)*A[nu](X)*A[lambda](X); expand(%); z:=select(has,%,h[mu,nu]); z1:=op(1,z); zf:=z1; collect(zf,(h[mu,nu])); simplify(%); Solu\303\247\303\243o Final 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 LB:=rf+sf+tf+vf+wf+zf; collect(LB,(h[mu,nu]));

Dado o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEoJnRoZXRhO0YnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQC1GIzYnLUYvNilRJSZtdTtGJ0YyRjVGOC9GPEY6L0Y/USxib2xkLWl0YWxpY0YnRkEtRi82KVEnJiM5NTc7RidGMkY1RjhGO0Y+RkFGMkY1L0Y/USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjJGNUZO, deriva-se a express\303\243o da for\303\247a 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, como: \342\210\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 Partindo-se: 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Fazendo a troca 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no segundo termo: \342\210\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\342\210\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JSFH\342\210\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 Resultando: \342\210\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 Observa-se que no caso sem fontes externas, i e, \342\210\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, temos que; \342\210\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

restart; with(Physics): Define(theta1, theta2);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PCpJJ3RoZXRhMUc2IkkndGhldGEyR0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YpSShQaHlzaWNzRzYkRilJKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0YpNiNJI211R0YkJkkjZ19HRig2JEkjbnVHRiRGMyZJJmdhbW1hR1FSQzpcQXJxdWl2b3N+ZGV+cHJvZ3JhbWFzXE1hcGxlfjE0L2xpYlxQaHlzaWNzLm1sYUYkRjImSSZzaWdtYUdGOkYyJkkoZXBzaWxvbkdGOjYmSSZhbHBoYUdGJEklYmV0YUdGJEY3RjMmSSZkZWx0YUdGOkY2

Define(F[alpha,beta],antisymmetric={alpha,beta});

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PCtJJ3RoZXRhMUc2IkkndGhldGEyR0YkJkkiRkdGJDYkSSZhbHBoYUdGJEklYmV0YUdGJCZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGLkkoUGh5c2ljc0c2JEYuSShfc3lzbGliR0YkL0kxaGlkZW1vZHVsZXByZWZpeEdGJEkldHJ1ZUdGLjYjSSNtdUdGJCZJI2dfR0YtNiRJI251R0YkRjgmSSZnYW1tYUdRUkM6XEFycXVpdm9zfmRlfnByb2dyYW1hc1xNYXBsZX4xNC9saWJcUGh5c2ljcy5tbGFGJEY3Jkkmc2lnbWFHRj9GNyZJKGVwc2lsb25HRj82JkYpRipGPEY4JkkmZGVsdGFHRj9GOw==

Define(For\303\247a1,For\303\247a2,For\303\247a1a,For\303\247a2a,For\303\247a1b,For\303\247a2b);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJJ0ZvcnxieWExRzYiSShGb3J8YnlhMWFHRiRJKEZvcnxieWExYkdGJEknRm9yfGJ5YTJHRiRJKEZvcnxieWEyYUdGJEkoRm9yfGJ5YTJiR0YkSSd0aGV0YTFHRiRJJ3RoZXRhMkdGJCZJIkZHRiQ2JEkmYWxwaGFHRiRJJWJldGFHRiQmSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRjRJKFBoeXNpY3NHNiRGNEkoX3N5c2xpYkdGJC9JMWhpZGVtb2R1bGVwcmVmaXhHRiRJJXRydWVHRjQ2I0kjbXVHRiQmSSNnX0dGMzYkSSNudUdGJEY+JkkmZ2FtbWFHUVJDOlxBcnF1aXZvc35kZX5wcm9ncmFtYXNcTWFwbGV+MTQvbGliXFBoeXNpY3MubWxhRiRGPSZJJnNpZ21hR0ZFRj0mSShlcHNpbG9uR0ZFNiZGL0YwRkJGPiZJJmRlbHRhR0ZFRkE=

Define(F[mu,nu],antisymmetric={mu,nu});

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PDFJJ0ZvcnxieWExRzYiSShGb3J8YnlhMWFHRiRJKEZvcnxieWExYkdGJEknRm9yfGJ5YTJHRiRJKEZvcnxieWEyYUdGJEkoRm9yfGJ5YTJiR0YkSSd0aGV0YTFHRiRJJ3RoZXRhMkdGJCZJIkZHRiQ2JEkjbXVHRiRJI251R0YkJkkjZF9HNiUlKnByb3RlY3RlZEcvSShwYWNrYWdlR0Y0SShQaHlzaWNzRzYkRjRJKF9zeXNsaWJHRiQvSTFoaWRlbW9kdWxlcHJlZml4R0YkSSV0cnVlR0Y0NiNGLyZJI2dfR0YzNiRGMEYvJkkmZ2FtbWFHUVJDOlxBcnF1aXZvc35kZX5wcm9ncmFtYXNcTWFwbGV+MTQvbGliXFBoeXNpY3MubWxhRiRGPSZJJnNpZ21hR0ZDRj0mSShlcHNpbG9uR0ZDNiZJJmFscGhhR0YkSSViZXRhR0YkRjBGLyZJJmRlbHRhR0ZDRkA=

Coordinates(X);

SUtTeXN0ZW1zfm9mfnNwYWNldGltZX5Db29yZGluYXRlc35hcmU6fnxmclh8aHJ+RzYi

PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

Calcular \342\210\202LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Ji1GLzYnUScmIzk1NjtGJy8lJ2ZhbWlseUdRKFZlcmRhbmFGJy8lJXNpemVHUSMxNEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGN0Y6RkAvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JJW1zdXBHRiQ2JS1GLzYnUScmIzk1MjtGJ0Y3RjpGPUZALUYjNiotSSNtb0dGJDYvUSJ+RidGN0Y6RkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zcb0Y0LUYvNidRJyYjOTU3O0YnRjdGOkY9RkBGN0Y6LyUscGxhY2Vob2xkZXJHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGQC8lMXN1cGVyc2NyaXB0c2hpZnRHRkUtRk82L1EiLEYnRjdGOkZARlIvRlVGZG9GVkZYRlpGZm5GaG5Gam4vRl5vUSwwLjMzMzMzMzNlbUYnRk4tRi82J1Emc2VuZG9GJ0Y3RjpGPUZARk4tRkc2JS1GLzYnUSgmdGhldGE7RidGN0Y6Rj1GQC1GIzYlRk4tRi82J1EtJiM5NTY7JiM5NTc7RidGN0Y6L0Y+RmRvL0ZBUSdpdGFsaWNGJ0ZARmhvLUZPNi9RIj1GJ0Y3RjpGQEZSRlRGVkZYRlpGZm5GaG4vRltvUSwwLjI3Nzc3NzhlbUYnL0Zeb0ZkcUZORjdGOkZALUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2L1EqJnVtaW51czA7RicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSUYyRjU=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2I1EhRictSShtc3Vic3VwR0YkNictRiw2J1EiRkYnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYmLUkjbW9HRiQ2LlEifkYnRjhGPi8lJmZlbmNlR0Y9LyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRldGQy1GLDYmUSgmYWxwaGE7RidGOEY7Rj5GPi1GIzYlLUZENjBGRkY1RjgvRjxRJXRydWVGJy9GP1EnaXRhbGljRidGR0ZJRktGTUZPRlFGU0ZVRlgtRiw2J1ElJm11O0YnRjVGOEZbb0Zdb0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0Zkby1GRDYvRkZGNUY4Rj5GR0ZJRktGTUZPRlFGU0ZVRlgtRjA2J0YyLUYjNiRGQ0Y+LUYjNiZGaW4tRiw2JlEnJiM5NDU7RidGOEY7Rj4tRiw2JlEnJiM5NTc7RidGOEY7Rj5GPkZib0Zlby1GRDYuUSomdW1pbnVzMDtGJ0Y4Rj5GR0ZJRktGTUZPRlFGUy9GVlEsMC4yMjIyMjIyZW1GJy9GWUZpcC1JJm1mcmFjR0YkNigtRiM2JC1JI21uR0YkNiVRIjFGJ0Y4Rj5GPi1GIzYkLUZhcTYlUSI0RidGOEY+Rj4vJS5saW5ldGhpY2tuZXNzR0ZjcS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zdci8lKWJldmVsbGVkR0Y9LUklbXN1cEdGJDYlLUYsNidRJiZldGE7RidGNUY4RjtGPi1GIzYmRkNGX28tRiw2JlElJm51O0YnRjhGO0Y+Rj5GYm8tSSVtc3ViR0YkNiVGMi1GIzYkLUYsNiZRLiZhbHBoYTsmYmV0YTtGJ0Y4RjtGPkY+RmVvLUZjcjYlRjItRiM2J0ZDRlotRiw2JlEnJmJldGE7RidGOEY7Rj5GK0Y+RmJvRjhGPg== 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+ LUkobXN1YnN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EoJnRoZXRhO0YnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2JS1JI21uR0YkNiVRIjJGJ0YvRjgvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGOC1GPDYmLUYsNiNRIUYnLUYsNidRKSZtdTsmbnU7RidGL0YyL0Y2USV0cnVlRicvRjlRJ2l0YWxpY0YnRkJGOC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGUw== 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 theta1[mu,nu]:= - F[mu,alpha]*F[alpha,nu];

LCQqJiZJIkZHNiI2JEkjbXVHRiZJJmFscGhhR0YmIiIiJkYlNiRGKUkjbnVHRiZGKiEiIg==

For\303\247a1 = \342\210\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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2L1EqJnVtaW51czA7RicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSS1GLDYvUSIoRidGL0YyRjUvRjlRJXRydWVGJ0Y7L0Y+RlBGP0ZBRkNGRS9GSFEsMC4xNjY2NjY3ZW1GJy9GS0ZTRjJGNQ==\342\210\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\342\210\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 For\303\247a1:=d_[mu](theta1[mu,nu](X));

LCYqJi0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRihJKFBoeXNpY3NHNiRGKEkoX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRi5JJXRydWVHRig2I0kjbXVHRi42JC0mSSJGR0YuNiRGM0kmYWxwaGFHRi42I0kiWEdGLjcjRjsiIiItJkY3NiRGOUkjbnVHRi5GOkY9ISIiKiZGNUY9LUYlNiRGPkY8Rj1GQg==

Atribuindo 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 = \342\210\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 For\303\247a1Final:=eval(For\303\247a1, [Physics:-d_[mu](F[mu, alpha](X))=J[alpha]]);

LCYqJiZJIkpHNiI2I0kmYWxwaGFHRiYiIiItJkkiRkdGJjYkRihJI251R0YmNiNJIlhHRiZGKSEiIiomLSZGLDYkSSNtdUdGJkYoRi9GKS0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRjtJKFBoeXNpY3NHNiRGO0koX3N5c2xpYkdGJi9JMWhpZGVtb2R1bGVwcmVmaXhHRiZJJXRydWVHRjs2I0Y2NiRGKjcjRjBGKUYx

theta2[mu,nu]:= -1/4*g_[mu,nu]*F[alpha,beta]*F[alpha,beta];

LCQqKCMiIiIiIiVGJSZJI2dfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGKkkoUGh5c2ljc0c2JEYqSShfc3lzbGliRzYiL0kxaGlkZW1vZHVsZXByZWZpeEdGMEkldHJ1ZUdGKjYkSSNudUdGMEkjbXVHRjBGJSkmSSJGR0YwNiRJJmFscGhhR0YwSSViZXRhR0YwIiIjRiUhIiI=

For\303\247a2 = \342\210\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 For\303\247a2:=d_[mu](theta2[mu,nu](X));

LCYqKCMiIiIiIiVGJS0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRitJKFBoeXNpY3NHNiRGK0koX3N5c2xpYkc2Ii9JMWhpZGVtb2R1bGVwcmVmaXhHRjFJJXRydWVHRis2I0kjbXVHRjE2JC0mSSNnX0dGKjYkSSNudUdGMUY2NiNJIlhHRjE3I0Y+RiUpLSZJIkZHRjE2JEkmYWxwaGFHRjFJJWJldGFHRjFGPSIiI0YlISIiKiojRiVGR0YlRjhGJUZBRiUtRig2JEZBRj9GJUZI

No resultado acima, teremos que designar \342\210\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 (sendo g = m\303\251trica) devido a express\303\243o de For\303\247a 2 estar em fun\303\247\303\243o de x, inclusive a m\303\251trica . Logo a derivada da m\303\251trica dever\303\241 ser zero. O motivo para que a express\303\243o de 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dependa de x, e somente para que seja poss\303\255vel deriv\303\241-la (regra do c\303\263digo Maple). For\303\247a2a:=eval((op(1,For\303\247a2)),d_[mu](Physics:-g_[nu, mu](X))=0);

IiIh

For\303\247a2b:=Simplify(op(2,For\303\247a2));

LCQqKCMiIiIiIiNGJS0mSSJGRzYiNiRJJmFscGhhR0YqSSViZXRhR0YqNiNJIlhHRipGJS0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRjRJKFBoeXNpY3NHNiRGNEkoX3N5c2xpYkdGKi9JMWhpZGVtb2R1bGVwcmVmaXhHRipJJXRydWVHRjQ2I0kjbnVHRio2JEYnNyNGL0YlISIi

For\303\247a2Final:=For\303\247a2a+For\303\247a2b;

LCQqKCMiIiIiIiNGJS0mSSJGRzYiNiRJJmFscGhhR0YqSSViZXRhR0YqNiNJIlhHRipGJS0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRjRJKFBoeXNpY3NHNiRGNEkoX3N5c2xpYkdGKi9JMWhpZGVtb2R1bGVwcmVmaXhHRipJJXRydWVHRjQ2I0kjbnVHRio2JEYnNyNGL0YlISIi

For\303\247a12Final:=For\303\247a1Final+For\303\247a2Final;

LCgqJiZJIkpHNiI2I0kmYWxwaGFHRiYiIiItJkkiRkdGJjYkRihJI251R0YmNiNJIlhHRiZGKSEiIiomLSZGLDYkSSNtdUdGJkYoRi9GKS0mSSNkX0c2JSUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRjtJKFBoeXNpY3NHNiRGO0koX3N5c2xpYkdGJi9JMWhpZGVtb2R1bGVwcmVmaXhHRiZJJXRydWVHRjs2I0Y2NiRGKjcjRjBGKUYxKigjRikiIiNGKS0mRiw2JEYoSSViZXRhR0YmRi9GKS0mRjk2I0YuNiRGSkZGRilGMQ==

d_[mu](theta[mu,nu]):=subs(mu=beta,For\303\247a12Final);

LCgqJiZJIkpHNiI2I0kmYWxwaGFHRiYiIiItJkkiRkdGJjYkRihJI251R0YmNiNJIlhHRiZGKSEiIiomLSZGLDYkSSViZXRhR0YmRihGL0YpLSZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGO0koUGh5c2ljc0c2JEY7SShfc3lzbGliR0YmL0kxaGlkZW1vZHVsZXByZWZpeEdGJkkldHJ1ZUdGOzYjRjY2JEYqNyNGMEYpRjEqKCNGKSIiI0YpLSZGLDYkRihGNkYvRiktJkY5NiNGLjYkRkpGRkYpRjE=

Physics:-d_[mu](theta[mu, nu]) := -Physics[`*`](J[alpha], F[alpha, nu](X))+Physics[`*`](F[alpha, beta](X), Physics:-d_[beta](F[alpha, nu](X)))-Physics[`*`](Physics[`*`](Physics[`^`](2, -1), F[alpha, beta](X)), Physics:-d_[nu](F[alpha, beta](X)));

LCgqJiZJIkpHNiI2I0kmYWxwaGFHRiYiIiItJkkiRkdGJjYkRihJI251R0YmNiNJIlhHRiZGKSEiIiomLSZGLDYkRihJJWJldGFHRiZGL0YpLSZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGO0koUGh5c2ljc0c2JEY7SShfc3lzbGliR0YmL0kxaGlkZW1vZHVsZXByZWZpeEdGJkkldHJ1ZUdGOzYjRjY2JEYqNyNGMEYpRikqKCNGKSIiI0YpRjNGKS0mRjk2I0YuNiRGM0ZGRilGMQ==

d_[mu](theta[mu,nu]):=collect(%,F[alpha, beta](X));

LCYqJiwmLSZJI2RfRzYlJSpwcm90ZWN0ZWRHL0kocGFja2FnZUdGKUkoUGh5c2ljc0c2JEYpSShfc3lzbGliRzYiL0kxaGlkZW1vZHVsZXByZWZpeEdGL0kldHJ1ZUdGKTYjSSViZXRhR0YvNiQtJkkiRkdGLzYkSSZhbHBoYUdGL0kjbnVHRi82I0kiWEdGLzcjRj0iIiIqJiNGPyIiI0Y/LSZGJzYjRjs2JC0mRjg2JEY6RjRGPEY+Rj8hIiJGP0ZHRj9GPyomJkkiSkdGLzYjRjpGP0Y2Rj9GSg==

d_[mu](theta[mu,nu]):= op(2,%);

LCQqJiZJIkpHNiI2I0kmYWxwaGFHRiYiIiItJkkiRkdGJjYkRihJI251R0YmNiNJIlhHRiZGKSEiIg==

O conte\303\272do do grupo de Lorentz nos leva ao spin. Dada a transforma\303\247\303\243o de rota\303\247\303\243o de Lorentz no espa\303\247o-tempo: 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 Obtendo a forma infinitesimal: 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 ou, LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2KFEoJmRlbHRhO0YnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKls2LDgsMTE1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEieEYnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EqWzYsOCwxMTVdRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUklbXJvd0dGJDYnLUkjbW9HRiQ2MFEiJ0YnRi9GMkY4L0Y8USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR1EmMC4wZW1GJy1GLDYoUScmIzk1NjtGJ0YvRjIvRjZGSUY4RkVGMkY4RkUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYn=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbW9HRiQ2MFEifkYnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJStmb3JlZ3JvdW5kR1EqWzYsOCwxMTVdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtSSNtaUdGJDYoUSgmb21lZ2E7RidGL0YyLyUnaXRhbGljR0Y9RjVGOC1JKG1zdWJzdXBHRiQ2Jy1GUDYjUSFGJy1GIzYpLUYsNjJGLkYvRjJGNS8lK2V4ZWN1dGFibGVHUSV0cnVlRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnRjhGO0Y+RkBGQkZERkZGSEZKRk1GZ25GZ24tRlA2KlEnJiM5NTc7RidGL0YyRlNGNUZpbkZcb0Y4RjJGNUY4LUYjNidGZ24tRlA2KlEnJiM5NTY7RidGL0YyRlNGNUZpbkZcb0Y4RjJGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0Zpb0YrLUklbXN1cEdGJDYlLUZQNihRInhGJ0YvRjIvRlRGW29GNS9GOVEnaXRhbGljRictRiM2J0YrRl9vRjJGNUY4RmdvLUYsNjJRIitGJ0YvRjJGNUZpbkZcb0Y4RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GW3EtRlA2KlEoJnRoZXRhO0YnRi9GMkZTRjVGaW5GXG9GOC1JKG1mZW5jZWRHRiQ2Jy1GIzYnRk8tRlY2J0ZYLUYjNiZGWEYyRjVGOC1GIzYmLUkjbW5HRiQ2KVEiMkYnRi9GMkY1RmluRlxvRjhGMkY1RjhGZ29Gam9GMkY1RjhGL0YyRjVGOEZnbkYyRjVGOA==onde 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 As representa\303\247\303\265es de SO(1,3) s\303\243o caracterizadas por um par de n\303\272meros qu\303\242nticos (j,k). A transforma\303\247\303\243o dos campos, \316\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 pertencem a esta representa\303\247\303\243o \303\251 dada por: 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= 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Utilizando a express\303\243o acima e dado que 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A lei de conserva\303\247\303\243o associada \303\240 invari\303\242ncia rotacional: 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\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYqUSJpRicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMiwxLDEzOF1GJy8lK2V4ZWN1dGFibGVHRj8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjpGQC9GSVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YuRjdGOkZARks=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\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYqUSJpRicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMiwxLDEzOF1GJy8lK2V4ZWN1dGFibGVHRj8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjpGQC9GSVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YuRjdGOkZARks=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 Rearranjando a equa\303\247\303\243o acima: 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[LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2MFEiKEYnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJStmb3JlZ3JvdW5kR1EqWzIsMSwxMzhdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSV0cnVlRicvJSpzZXBhcmF0b3JHUSZmYWxzZUYnLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHRk0tSSNtaUdGJDYoUScmIzk0ODtGJ0YvRjIvJSdpdGFsaWNHRkBGNUY4Ri9GMkY1Rjg=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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)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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSShtc3Vic3VwR0YkNictRiw2KVEoJlNpZ21hO0YnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKlsyLDEsMTM4XUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2KC1GLDYpUSgmYWxwaGE7RidGNUY4RjtGPkZBRkQtRiw2KVEnJmJldGE7RidGNUY4RjtGPk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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2MFEifkYnLyUnZmFtaWx5R1EoVmVyZGFuYUYnLyUlc2l6ZUdRIzE0RicvJStmb3JlZ3JvdW5kR1EqWzIsMSwxMzhdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtSShtc3Vic3VwR0YkNictRiw2MFErJlBhcnRpYWxEO0YnRi9GMkY1RjhGO0Y+RkBGQkZERkZGSEZKRk0tRiM2JS1JI21pR0YkNipRJyYjOTU2O0YnRi9GMi8lJ2l0YWxpY0dGPUY1LyUrZXhlY3V0YWJsZUdRJXRydWVGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGOEY1RjgtRiM2JS1GLDYyRi5GL0YyRjVGZ25Gam5GOEY7Rj5GQEZCRkRGRkZIRkpGTUY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUvc3Vic2NyaXB0c2hpZnRHRmNvRjVGOA==JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtSSNtb0dGJDYwUSJbRicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lK2ZvcmVncm91bmRHUSpbMiwxLDEzOF1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJXRydWVGJy8lKnNlcGFyYXRvckdRJmZhbHNlRicvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRy8lKGxhcmdlb3BHRkcvJS5tb3ZhYmxlbGltaXRzR0ZHLyUnYWNjZW50R0ZHLyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGVC1GIzYlLUYzNjJRIn5GJ0Y2RjlGPC8lK2V4ZWN1dGFibGVHRkQvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnRj8vRkNGR0ZFL0ZJRkdGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVkZeb0Y8Rj8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjxGPw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkmbWZyYWNHRiQ2KS1GIzYmLUkjbW9HRiQ2L1ErJlBhcnRpYWxEO0YnLyUlc2l6ZUdRIzE0RicvJStmb3JlZ3JvdW5kR1EqWzIsMSwxMzhdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk4tSSNtaUdGJDYnUS0mTGFwbGFjZXRyZjtGJ0Y0LyUnaXRhbGljR1EldHJ1ZUYnRjcvRjtRJ2l0YWxpY0YnRjdGOi1GIzYqRjAtSShtc3Vic3VwR0YkNictRlI2I1EhRictRiM2JS1GMTYxUSJ+RicvJSdmYW1pbHlHUShWZXJkYW5hRidGNEY3LyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Y6Rj1GQEZCRkRGRkZIRkpGTEZPRjdGOi1GIzYlRmluRjdGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGW3BGMC1JJW1zdWJHRiQ2JUZpbi1GIzYlLUZSNipRJSZtdTtGJ0Zhb0Y0L0ZWRj9GNy8lK2V4ZWN1dGFibGVHRldGZG9GOkY3RjpGXHAtRmduNictRlI2KFEmJlBoaTtGJ0Zhb0Y0RmZwRjdGOi1GIzYmLUZSNipRImlGJ0Zhb0Y0RmZwRjdGZ3BGZG9GOi1GMTYyRmBvRmFvRjRGN0ZncEZkb0Y6Rj1GQEZCRkRGRkZIRkpGTEZPRjdGOkZnb0Zpb0ZccEZpbkY3RjovJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmpxLyUpYmV2ZWxsZWRHRj9GNy1GZ242Jy1GUjYpUSgmU2lnbWE7RidGYW9GNEZmcEY3RmRvRjotRiM2Ji1GUjYpUSgmYWxwaGE7RidGYW9GNEZmcEY3RmRvRjotRlI2KVEnJmJldGE7RidGYW9GNEZmcEY3RmRvRjpGN0Y6RmdvRmlvRlxwRl5vRmFvRjRGNy9GZW9RJVRleHRGJ0Y6\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYqUSJpRicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMiwxLDEzOF1GJy8lK2V4ZWN1dGFibGVHRj8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjpGQC9GSVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YuRjdGOkZARks=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(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\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYqUSJpRicvJSdmYW1pbHlHUShWZXJkYW5hRicvJSVzaXplR1EjMTRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSpbMiwxLDEzOF1GJy8lK2V4ZWN1dGFibGVHRj8vJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjpGQC9GSVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YuRjdGOkZARks=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(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\316\246LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2I1EhRictRiM2Jy1GLzYqUSJpRicvJSdmYW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Obtemos a express\303\243o para a conserva\303\247\303\243o do momento angular : 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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 A express\303\243o acima nos leva a defini\303\247\303\243o de: A densidade de momento angular orbital \303\251: 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A densidade de momento angular intr\303\255nseco ou densidade de corrente de spin 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Densidade de Corrente de Spin Maxwell 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L =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 restart;JSFH with (Physics): Define(A,S,F);

SUdEZWZpbmVkfm9iamVjdHN+d2l0aH50ZW5zb3J+cHJvcGVydGllc0c2Ig==

PCtJIkFHNiJJIkZHRiRJIlNHRiQmSSNkX0c2JCUqcHJvdGVjdGVkRy9JKHBhY2thZ2VHRipJKFBoeXNpY3NHNiRGKkkoX3N5c2xpYkdGJDYjSSNtdUdGJCZJI2dfR0YpNiRJI251R0YkRjEmSSZnYW1tYUdRUkM6XEFycXVpdm9zfmRlfnByb2dyYW1hc1xNYXBsZX4xMy9saWJcUGh5c2ljcy5tbGFGJEYwJkkmc2lnbWFHRjhGMCZJKGVwc2lsb25HRjg2JkkmYWxwaGFHRiRGNUklYmV0YUdGJEYxJkkmZGVsdGFHRjhGNA==

Define(Gamma);

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Coordinates(X);

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PCNJIlhHNiI=

Setup(differentiationvariables = X);

SV5vRGVmYXVsdH5kaWZmZXJlbnRpYXRpb25+dmFyaWFibGVzfmZvcn5kX35hbmR+ZEFsZW1iZXJ0aWFufmFyZTp+W1hdfkc2Ig==

NyMvSTlkaWZmZXJlbnRpYXRpb252YXJpYWJsZXNHNiI3I0kiWEc2Ig==

F[alpha,beta]:= d_[alpha](A[beta](X))-d_[beta](A[alpha](X));

LCYtJkkjZF9HNiQlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiI2I0kmYWxwaGFHRi02JC0mSSJBR0YtNiNJJWJldGFHRi02I0kiWEdGLTcjRjciIiItJkYlRjQ2JC0mRjNGLkY2RjghIiI=

L:= -1/4*F[alpha,beta]*F[alpha,beta];

LCQqJiwmKiYjIiIiIiIlRictJkkjZF9HNiQlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YtSShQaHlzaWNzRzYkRi1JKF9zeXNsaWJHNiI2I0kmYWxwaGFHRjM2JC0mSSJBR0YzNiNJJWJldGFHRjM2I0kiWEdGMzcjRj1GJ0YnKiZGJkYnLSZGK0Y6NiQtJkY5RjRGPEY+RichIiJGJywmRilGJ0ZARkVGJ0ZF

Lc1:=diff(L, d_[mu](A[rho](X)));

LCYqKCwmKiYjIiIiIiIjRictJkkjZF9HNiQlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YtSShQaHlzaWNzRzYkRi1JKF9zeXNsaWJHNiI2I0kmYWxwaGFHRjM2JC0mSSJBR0YzNiNJJWJldGFHRjM2I0kiWEdGMzcjRj1GJyEiIiomRiZGJy0mRitGOjYkLSZGOUY0RjxGPkYnRidGJyZJI2dfR0YsNiRGNUkjbXVHRjNGJyZGRzYkSSRyaG9HRjNGO0YnRicqKCwmRiVGJ0ZARj9GJyZGRzYkRjtGSUYnJkZHNiRGNUZMRidGJw==

C1:=Simplify(%);

LCYtJkkjZF9HNiQlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YnSShQaHlzaWNzRzYkRidJKF9zeXNsaWJHNiI2I0kjbXVHRi02JC0mSSJBR0YtNiNJJHJob0dGLTYjSSJYR0YtNyNGNyEiIi0mRiVGNDYkLSZGM0YuRjZGOCIiIg==

DCS = Densidade de Corrente de Spin Maxwell DCS:= C1*((g_[alpha,sigma]*g_[beta,rho])-(g_[alpha,rho]*g_[sigma,beta]))*(A[sigma](X));

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DCS:=Simplify(%);

LCoqJi0mSSJBRzYiNiNJJmFscGhhR0YnNiNJIlhHRiciIiItJkkjZF9HNiQlKnByb3RlY3RlZEcvSShwYWNrYWdlR0YxSShQaHlzaWNzRzYkRjFJKF9zeXNsaWJHRic2I0kjbXVHRic2JC0mRiY2I0klYmV0YUdGJ0YqNyNGK0YsISIiKiZGOkYsLUYuNiRGJEY+RixGLComRiRGLC0mRi9GPDYkLSZGJkY3RipGPkYsRiwqJkY6RiwtJkYvRihGRkYsRj8=

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