Transverse electric conductivity and dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with variable collision frequency in Mermin's approach

TL;DR

This paper derives formulas for transverse electric conductivity and dielectric permeability in quantum collisional plasma with variable collision frequency, analyzing their real and imaginary parts through graphical methods.

Contribution

It introduces formulas for quantum plasma properties with arbitrary collision frequency dependence, including a specific case proportional to wave vector magnitude, within Mermin's approach.

Findings

Formulas for transverse conductance and dielectric permeability are derived.

Graphical analysis of dielectric function's real and imaginary parts is performed.

Special case with collision frequency proportional to wave vector magnitude is examined.

Abstract

Formulas for transverse conductance and dielectric permeability in quantum non-degenerate and Maxwellian collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles depends arbitrarily on a wave vector. The special case of frequency of collisions proportional to the module of a wave vector is considered. The graphic analysis of the real and imaginary parts of dielectric function is made.