MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad de Tarapacá
2008
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| _version_ | 1876439915339710464 |
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| author | Héctor Torres-Silva |
| author_facet | Héctor Torres-Silva |
| contents | MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL Héctor 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 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. 2008 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77214435008 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) Vol.16 |
| format | Artículo científico |
| id | redalyc_77214435008 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Universidad de Tarapacá |
| spellingShingle | MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL Héctor Torres-Silva Ingeniería action Lagrange Born Infeld Maxwell equations MAXWELL EQUATIONS FOR A GENERALISED LAGRANGIAN FUNCTIONAL Héctor 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 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. 2008 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77214435008 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) 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=77214435008 |