Quantum Theory of the Dielectric Constant of a Magnetized Plasma and Astrophysical Applications. I: Theory

Details Quantum Theory of the Dielectric Constant of a Magnetized Plasma and Astrophysical Applications. I: Theory Quantum Theory of the Dielectric Constant of a Magnetized Plasma and Astrophysical Applications. I: Theory

Sep 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..18..104c&link_type=abstract

Astrophysics and Space Science, Volume 18, Issue 1, pp.104-120

Astronomy and Astrophysics

Astrophysics

16

Scientific paper

A quantum mechanical treatment of an electron plasma in a constant and homogeneous magnetic field is considered, with the aim of (a) defining the range of validity of the magnetoionic theory (b) studying the deviations from this theory, in applications involving high densities, and intense magnetic field. While treating the magnetic field exactly, a perturbation approach in the photon field is used to derive general expressions for the dielectric tensor ɛαβ. The properties of ɛαβ are explored in the various limits. Numerical estimates on the range of applicability of the magnetoionic theory are given for the case of the ‘one-dimensional’ electron gas, where only the lowest Landau level is occupied.

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