2011/09/29 by A. V. Latyshev, А. В. Латышев, Latyshev, A. V. +2
Mathematics · Physics and Astronomy · #80A99 #81 #82B40 #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Mathematical Physics (math-ph) #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #math-ph #math.MP #msc:80A99 #msc:81 #msc:82B40 #physics.plasm-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1109.6554
18 pages, 5 figures
openalex publication_date 2011/09/29 · arxiv created 2012/10/11 · arxiv updated 2012/10/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.