Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency

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 approach Мермина, 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.