Longitudinal permittivity of a~quantum degenerate collisional plasma
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 3, pp. 431-443

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We find the permittivity of a degenerate electron gas for a collisional plasma. We use the Wigner–Vlasov–Boltzmann kinetic equation with the collision integral in the relaxation form in the coordinate space. We study the Kohn permittivity singularities and reveal their spreading in the collisionless plasma.
Keywords: degenerate electron gas, permittivity, collision integral, Lindhard function, Kohn singularity.
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     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Longitudinal permittivity of a~quantum degenerate collisional plasma},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {431--443},
     publisher = {mathdoc},
     volume = {169},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_169_3_a6/}
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A. V. Latyshev; A. A. Yushkanov. Longitudinal permittivity of a~quantum degenerate collisional plasma. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 3, pp. 431-443. http://geodesic.mathdoc.fr/item/TMF_2011_169_3_a6/