The quantum equations of state of plasma under the influence of a weak magnetic field

Abstract

The aim of this paper is to calculate the magnetic quantum equations of state of plasma, the calculation is based on the magnetic binary Slater sum in the case of low density. We consider only the thermal equilibrium plasma in the case of nλab3≪1, where λab2=ℏ2mabKT is the thermal De Broglie wave length between two particles. The formulas contain the contributions of the magnetic field effects. Using these results we compute the magnetization and the magnetic susceptibility. Our equation of state is compared with others.

A complete theory for the magnetism of an ideal gas of electrons

“…Pauli paramagnetism [1], Landau diamagnetism [2] and de Haas-van Alphen effect [3] are very common topics of condensed matter and statistical physics not only for the undergraduate and graduate students [4][5][6][7] but also for the theoreticians [8][9][10][11][12][13][14] and experimentalists [15][16][17][18][19][20][21][22]. The simplest system of interest, for these particular topics, is a 3-D ideal gas of electrons exposed in a constant magnetic field (B = B k) [4,6].…”