Maxwell equations for a generalised lagrangian functional

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Main Author: H. Torres-Silva
Format: Artículo científico
Language:en
Published: Universidad de Tarapacá 2008
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author H. Torres-Silva
author_facet H. Torres-Silva
contents Maxwell equations for a generalised lagrangian functional H. Torres-Silva Ingeniería action Lagrange Born Infeld Maxwell equations This work deals with the problem of the construction of the Lagrange functional for an electromagnetic field. The generalisedMaxwell equations for an electromagnetic field in free space are introduced. The main idea relies on the change ofLagrange function under the integral action. Usually, the Lagrange functional which describes the electromagnetic fieldis built with the quadrate of the electromagnetic field tensor Fik. Such a quadrate term is the reason, from a mathematicalpoint of view, for the linear form of the Maxwell equations in free space. The author does not make this assumptionand nonlinear Maxwell equations are obtained. New material parameters of free space are established. The equationsobtained are quite similar to the well-known Maxwell equations. The energy tensor of the electromagnetic field from achiral approach to the Born Infeld Lagrangian is discussed in connection with the cosmological constant 2008 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77216108 en http://www.redalyc.org/revista.oa?id=772 Ingeniare. Revista Chilena de Ingeniería application/pdf Universidad de Tarapacá Ingeniare. Revista Chilena de Ingeniería (Chile) Num.1 Vol.16
format Artículo científico
id redalyc_77216108
institution Redalyc
language en
publishDate 2008
publisher Universidad de Tarapacá
spellingShingle Maxwell equations for a generalised lagrangian functional
H. Torres-Silva
Ingeniería
action
Lagrange
Born Infeld
Maxwell equations
Maxwell equations for a generalised lagrangian functional H. Torres-Silva Ingeniería action Lagrange Born Infeld Maxwell equations This work deals with the problem of the construction of the Lagrange functional for an electromagnetic field. The generalisedMaxwell equations for an electromagnetic field in free space are introduced. The main idea relies on the change ofLagrange function under the integral action. Usually, the Lagrange functional which describes the electromagnetic fieldis built with the quadrate of the electromagnetic field tensor Fik. Such a quadrate term is the reason, from a mathematicalpoint of view, for the linear form of the Maxwell equations in free space. The author does not make this assumptionand nonlinear Maxwell equations are obtained. New material parameters of free space are established. The equationsobtained are quite similar to the well-known Maxwell equations. The energy tensor of the electromagnetic field from achiral approach to the Born Infeld Lagrangian is discussed in connection with the cosmological constant 2008 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77216108 en http://www.redalyc.org/revista.oa?id=772 Ingeniare. Revista Chilena de Ingeniería application/pdf Universidad de Tarapacá Ingeniare. Revista Chilena de Ingeniería (Chile) Num.1 Vol.16
title Maxwell equations for a generalised lagrangian functional
topic Ingeniería
action
Lagrange
Born Infeld
Maxwell equations
url https://www.redalyc.org/articulo.oa?id=77216108