Variational principle for electrodynamics of moving particles

Details Variational principle for electrodynamics of moving particles Variational principle for electrodynamics of moving particles

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995gregr..27..267k&link_type=abstract

General Relativity and Gravitation, Volume 27, Issue 3, pp.267-311

Computer Science

6

Scientific paper

A consistent relativistic theory of the classical Maxwell field interacting with classical, charged, point-like particles, proposed in [1], is now derived from a variational principle. For this purpose a new electrodynamical Lagrangian based on fluxes is constructed. As a result, we obtain the action principle where i) field degrees of freedom and particle degrees of freedom are kept at the same footing, ii) contrary to the standard formulation, no infinities arise, iii) energy (Hamiltonian) is obtained from the Lagrangian via the Legendre transformation, without any need of “adding a complete divergence”.

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