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Electromagnetism of isotropic relativistic plasmas: Maxwell's formalism and the choice of gauge

Published online by Cambridge University Press:  13 March 2009

P. de Gottal  and
J. Gariel
P. de Gottal
Affiliation:
Faculté des Sciences, Université de Mons-Hainaut, Place du Parc 20, B-7000 Mons, Belgium
J. Gariel
Affiliation:
Université Paris VI, CNRS/URA 769, G.C.R. T 22-12-BP 142, 4 place Jussieu, F-75005 Paris, France
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Extract

We define a new generalized symmetrical permittivity tensor of rank two, χαβ in order to characterize the inductions in Maxwell's formalism for an isotropic relativistic plasma. We then show that only the Lorentz gauge allows one to write the field potentials with a propagator inversely proportional to this tensor. In this sense, we may say that the Lorentz gauge is the only one suitable for Maxwell's formalism.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 3 , December 1994 , pp. 431 - 442
Copyright
Copyright © Cambridge University Press 1994

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