Europhys. Lett.
Volume 69, Number 1, January 2005
Page(s) 1 - 7
Section General
Published online 08 December 2004
Europhys. Lett., 69 (1), pp. 1-7 (2005)
DOI: 10.1209/epl/i2004-10318-y

Instantaneous fields in classical electrodynamics

J. A. Heras

Department of Physics and Astronomy, Lousiana State University Baton Rouge, LA 70803-4001, USA

received 20 August 2004; accepted 2 November 2004
published online 8 December 2004

In this paper we express the retarded fields of Maxwell's theory in terms of the instantaneous fields of a Galilei-invariant electromagnetic and we find the vector function ${\boldsymbol{\chi}}_{\ab{L}}$ whose spatial and temporal derivatives transform the Euclidean fields into the retarded ones. We conclude that the instantaneous fields can formally be introduced as unphysical objects into classical electrodynamics which can be used to find the physical retarded fields.

03.50.De - Classical electromagnetism, Maxwell equations.
03.50.Kk - Other special classical field theories.
41.20.Cv - Electrostatics; Poisson and Laplace equations, boundary-value problems.

© EDP Sciences 2005