Geodesic
Longitudinal electric conductivity in a quantum plasma with a variable collision frequency in the framework of the Mermin approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 1, pp. 147-160 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. V. Latyshev; A. A. Yushkanov. Longitudinal electric conductivity in a quantum plasma with a variable collision frequency in the framework of the Mermin approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 1, pp. 147-160. http://geodesic.mathdoc.fr/item/TMF_2014_178_1_a5/

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