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TMF, 2014 Volume 178, Number 1, Pages 147–160 (Mi tmf8526)

This article is cited in 16 papers

Longitudinal electric conductivity in a quantum plasma with a variable collision frequency in the framework of the Mermin approach

A. V. Latyshev, A. A. Yushkanov

Moscow State Regional University, Moscow, Russia

Abstract: In the framework of the Mermin approach, we obtain formulas for the longitudinal electric conductivity in a quantum collisional plasma with a collision frequency depending on the momentum. We use a kinetic equation in the momentum space in the relaxation approximation. We show that as the Planck constant tends to zero, the derived formula transforms into the corresponding formula for a classical plasma. We also show that as the frequency of collisions between plasma particles tends to zero (the plasma transforms into a collisionless plasma), the derived formula transforms into the well-known Klimontovich–Silin formula for the collisionless plasma. We show that if the collision frequency is constant, then the derived formula for the permittivity transforms into the well-known Mermin formula.

Keywords: Klimontovich–Silin formula, Mermin approach, conductivity, quantum collisional plasma, Schrödinger equation.

Received: 04.03.2013
Revised: 17.06.2013

DOI: 10.4213/tmf8526


 English version:
Theoretical and Mathematical Physics, 2014, 178:1, 130–141

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