MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL

This work deals with the problem of the construction of the Lagrange functional for an electromagnetic field. The generalised Maxwell equations for an electromagnetic field in free space are introduced. The main idea relies on the change of Lagrange function under the integral action. Usually, the L...

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Autor principal:	Torres-Silva,Héctor
Lenguaje:	English
Publicado:	Universidad de Tarapacá. 2008
Materias:	Lagrange action Maxwell equations Born Infeld
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400008
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spelling	oai:scielo:S0718-330520080004000082015-04-10MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONALTorres-Silva,Héctor Lagrange action Maxwell equations Born Infeld This work deals with the problem of the construction of the Lagrange functional for an electromagnetic field. The generalised Maxwell equations for an electromagnetic field in free space are introduced. The main idea relies on the change of Lagrange function under the integral action. Usually, the Lagrange functional which describes the electromagnetic field is built with the quadrate of the electromagnetic field tensor <img border=0 width=25 height=20 src="http:/fbpe/img/ingeniare/v16nespecial/image08-1.gif">. Such a quadrate term is the reason, from a mathematical point of view, for the linear form of the Maxwell equations in free space. The author does not make this assumption and nonlinear Maxwell equations are obtained. New material parameters of free space are established. The equations obtained are quite similar to the well-known Maxwell equations. The energy tensor of the electromagnetic field from a chiral approach to the Born Infeld Lagrangian is discussed in connection with the cosmological constant.info:eu-repo/semantics/openAccessUniversidad de Tarapacá.Ingeniare. Revista chilena de ingeniería v.16 n.especial 20082008-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400008en10.4067/S0718-33052008000400008
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Lagrange action Maxwell equations Born Infeld
spellingShingle	Lagrange action Maxwell equations Born Infeld Torres-Silva,Héctor MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
description	This work deals with the problem of the construction of the Lagrange functional for an electromagnetic field. The generalised Maxwell equations for an electromagnetic field in free space are introduced. The main idea relies on the change of Lagrange function under the integral action. Usually, the Lagrange functional which describes the electromagnetic field is built with the quadrate of the electromagnetic field tensor <img border=0 width=25 height=20 src="http:/fbpe/img/ingeniare/v16nespecial/image08-1.gif">. Such a quadrate term is the reason, from a mathematical point of view, for the linear form of the Maxwell equations in free space. The author does not make this assumption and nonlinear Maxwell equations are obtained. New material parameters of free space are established. The equations obtained are quite similar to the well-known Maxwell equations. The energy tensor of the electromagnetic field from a chiral approach to the Born Infeld Lagrangian is discussed in connection with the cosmological constant.
author	Torres-Silva,Héctor
author_facet	Torres-Silva,Héctor
author_sort	Torres-Silva,Héctor
title	MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
title_short	MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
title_full	MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
title_fullStr	MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
title_full_unstemmed	MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
title_sort	maxwell equations for a generalised lagrangian functional
publisher	Universidad de Tarapacá.
publishDate	2008
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400008
work_keys_str_mv	AT torressilvahector maxwellequationsforageneralisedlagrangianfunctional
_version_	1714203371363106816

MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL

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