2012/12/22 by A. V. Latyshev, А. В. Латышев, Latyshev, A. V. +2 · 1 citation
Physics and Astronomy · #81V10 #81V99 #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #msc:81V10 #msc:81V99 #physics.plasm-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1212.5659
29 pages, 0 figures, some transformations are added. arXiv admin note: substantial text overlap with arXiv:1212.6260
openalex publication_date 2012/12/22 · arxiv created 2013/03/08 · arxiv updated 2013/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Formulas for longitudinal electric conductivity and dielectric permeability in the quantum non-degenerate collisional plasma with the frequency of collisions depending on momentum in Mermin' approach are received. The kinetic equation in momentum space in relaxation approximation is used. It is shown that when Planck's constant tends to zero, the deduced formula passes to the corresponding formula for classical plasma. It is shown also that when frequency of collisions of particles of plasma tends to zero (plasma passes to collisionless one), the deduced formula passes to the known Lindhard' formula received for collisionless plasmas. It is shown, that when frequency of collisions is a constant, the deduced formula for dielectric permeability passes in known Mermin' formula.