| Issue |
Europhys. Lett.
Volume 69, Number 1, January 2005
|
|
|---|---|---|
| Page(s) | 1 - 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2004-10318-y | |
| Published online | 08 December 2004 | |
Instantaneous fields in classical electrodynamics
Department of Physics and Astronomy, Lousiana State University Baton Rouge, LA 70803-4001, USA
Received:
20
August
2004
Accepted:
2
November
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 
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.
PACS: 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
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