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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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References

Alexandrov, A. F., Bogdankevich, L. S. & Rukhadze, A. A. 1984 Principles of Plasma Electrodynamics. Springer.CrossRefGoogle Scholar
Anderson, S. L. & Ryon, J. W. 1969 Phys. Rev. 181, 1765.CrossRefGoogle Scholar
de Gottal, P. & Gariel, J. 1992 Physica A 186, 534.CrossRefGoogle Scholar
Jauch, J. M. & Watson, K. W. 1948 Phys. Rev. 74, 950 and 1485.CrossRefGoogle Scholar
Klimontovich, Y. 1967 The Statistical Theory of Non-Equilibrium Processes in a Plasma. MIT Press.Google Scholar
Lindhard, J. 1954 K. Dan. Videnek. Selsk. Mat. Fys. Medd. 28 (8).Google Scholar
Phan, Man Quan 1956 J. Rat. Mech. Anal. 5, 473.Google Scholar
Post, E. J. 1972 Ann. Phys. (NY) 71, 497.CrossRefGoogle Scholar
Post, E. J. 1979 Found. Phys.. 619.CrossRefGoogle Scholar
Silin, V. P. 1961 Soviet Phys. JETP 13, 1244.Google Scholar
Sitenko, A. G. 1967 Electromagnetic Fluctuations in Plasma. Academic.CrossRefGoogle Scholar
Tse, Chin Mo 1970 J. Math. Phys. 11, 2589.Google Scholar
Yildiz, A. & Tang, C. H. 1966 Phys. Rev. 146, 947.CrossRefGoogle Scholar