A variational formulation of electrodynamics with external sources

Autor:	De Nicola, Antonio, Tulczyjew, Wlodzimierz M.
Rok vydání:	2007
Předmět:	Mathematical Physics Mathematics - Differential Geometry 49S05 70S05
Zdroj:	Int. J. Geom. Methods Mod. Phys. 6 (2009), 173-200
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219887809003461
Popis:	We present a variational formulation of electrodynamics using de Rham even and odd differential forms. Our formulation relies on a variational principle more complete than the Hamilton principle and thus leads to field equations with external sources and permits the derivation of the constitutive relations. We interpret a domain in space-time as an odd de Rham 4-current. This permits a treatment of different types of boundary problems in an unified way. In particular we obtain a smooth transition to the infinitesimal version by using a current with a one point support. Comment: 23 pages, to appear in Int. J. Geom. Methods Mod. Phys. (IJGMMP)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0704.0433 Zobrazit plný text záznamu View this record from Arxiv