Transverse electric conductivity and dielectric function in quantum non-degenerate collisional plasma by Mermin approach

TL;DR

This paper derives formulas for transverse electric conductivity and dielectric function in quantum non-degenerate collisional plasma using Mermin's approach, connecting quantum and classical results in specific limits.

Contribution

It introduces new formulas for transverse conductance in quantum collisional plasma using the kinetic equation in the relaxation approach.

Findings

Derived formulas reduce to classical results as Planck's constant approaches zero.

Conductance formulas match known classical plasma formulas at small wave numbers.

The approach bridges quantum and classical plasma conductivity theories.

Abstract

Formulas for transverse conductance in quantum non-degenerate collisional plasma are deduced. The kinetic equation in momentum space in the relaxation approach is used. It is shown, that at $\hbar\to 0$ the derived formula transfers to the classical one. It is shown also, that when values of dimensionless wave numbers are small, the conductance formula transfers in the known formula for classical non-degenerate plasmas.