Simple deductions of the integral representations of the relativistic Faraday and Ampère–Maxwell laws and the relativistic transformation laws of the electromagnetic field
M. Ortiz–Domínguez, E.M. Pereyra, and G. Ares de Parga
Depto. de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, U.P. Adolfo López Mateos, Zacatenco, 07738, México D.F, México.
Recibido el 14 de mayo de 2007
Aceptado el 4 de septiembre de 2007
Abstract
By using simple concepts of special relativity and the differential representations of the Faraday and Ampère–Maxwell laws, we deduce their Gelman–Monsivais integral representation. The relativistic transformation laws of the electromagnetic field are also obtained without using tensorial analysis or covariant concepts.
Keywords: Special relativity; Maxwell equations; integral representation.
Resumen
Usando conceptos simples de la relatividad especial y las representaciones diferenciales de las ecuaciones de Faraday y Ampère–Maxwell, se deducen las representaciones integrales de Gelman–Monsivais de estas ultimas. Se obtienen al mismo tiempo las leyes de las transformaciones relativistas del campo electromagnético sin utilizar análisis tensorial o conceptos covariantes.
Descriptores: Relatividad especial; ecuaciones de Maxwell; representación integral.
PACS: 03.50.De
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Acknowledgement
This work was partially supported by COFAA and EDI – IPN. We thank a referee for valuable and enlightened comments.
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