Transverse electric conductivity in quantum collisional plasma in Mermin approach

Abstract

Formulas for transversal electric conductivity and dielectric permeability of quantum collisional plasma are deduced. The kinetic equation for a density matrix in relaxation approaching in momentum space is used. It is shown, that when Planck's constant tends to zero, these deduced formulas pass in classical expressions and when frequency of electron collision tends to zero (i.e. plasma passes in collisionless plasma), the deduced formulas pass in deduced earlier by Lindhard. It is shown also, that when the wave number tends to zero, quantum conductivity passes in the classical one. Graphic comparison of the deduced conductivity with Lindhard's conductivity and with classical conductivity is carry out.

18 pages, 5 figures

References in corpus (1)

• Interpolation between static local field corrections and the Drude model by a generalized Mermin approach

Cited by in corpus (7)

• Longitudinal electric conductivity and dielectric permeability in quantum plasma with variable frequency of collisions in Mermin' approach
• Longitudinal dielectric permeability into quantum degenerate plasma with frequency of collisions proportional to the module of a wave vector
• Longitudinal dielectric permeability into quantum non-degenerate and maxwellian plasma with frequency of collisions proportional to the module of a wave vector
• Longitudinal dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with constant collision frequency
• Longitudinal electric conductivity and dielectric permeability in quantum plasma with constant collision frequency in Mermin' approach
• Transverse electric conductivity and dielectric permeability in quantum degenerate collisional plasma with variable collision frequency in Mermin's approach
• Transverse electric conductivity and dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with variable collision frequency in Mermin's approach