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Longitudinal dielectric permeability into quantum degenerate plasma with frequency of collisions proportional to the module of a wave vector

2013/02/04 by A. V. Latyshev, А. В. Латышев, Latyshev, A. V. +2 · 2 citations
Mathematics · Physics and Astronomy · #Dust and Plasma Wave Phenomena #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials #msc:10 #msc:81 #msc:99 #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1302.0718

20 pages, 14 figures

arxiv created 2013/02/04 · arxiv updated 2013/02/05

Abstract

Formulas for the longitudinal dielectric permeability in quantum degenerate collisional plasma with the frequency of collisions proportional to the module of the wave vector, in Mermin's approach, are received. Equation of Shrödinger - Boltzmann with integral of collisions relaxation type in Mermin's approach is applied. It is spent numerical and graphic comparison of the real and imaginary parts of dielectric function of non-degenerate and maxwellian collisional quantum plasma with a constant and a variable frequencies of collisions. It is shown, that the longitudinal dielectric function weakly depends on a wave vector.

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