Permittivity of a nondegenerate collisionless plasma and cyclotron waves in a quantized magnetic field
Abstract
An exact calculation is presented for the dielectric tensor of a nondegenerate plasma in a quantized magnetic field. The dependence of this tensor on frequency and wave vector is analyzed, taking into account the contribution of the spin current which may substantially exceed the orbital current when the distance between Landau levels is significantly greater than the thermal energy. Conditions for the transition to the classical limit are considered which involve a weakening of the magnetic field as well as a sufficiently long wavelength. The properties of ordinary cyclotron waves are studied in the case of transverse propagation, and it is shown that the exact solution leads to results that are qualitatively different from the classical results obtained by Akhiezer et al. (1974).
 Publication:

Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
 Pub Date:
 January 1976
 Bibcode:
 1976ZhETF..70...61G
 Keywords:

 Collisionless Plasmas;
 Cyclotron Radiation;
 Dielectric Permeability;
 Quantum Numbers;
 Tensor Analysis;
 Magnetic Fields;
 Transverse Waves;
 Vector Analysis;
 Wave Propagation;
 Plasma Physics