Dispersion properties of electrostatic oscillations in quantum plasmas

作者:Eliasson Bengt*; Shukla Padma Kant
来源:Journal of Plasma Physics, 2010, 76(01): 7-17.
DOI:10.1017/S0022377809990316

摘要

We present a derivation of the dispersion relation for electrostatic oscillations in a zero-temperature quantum plasma; in which degenerate electrons are governed by the Wigner equation while non-degenerate ions follow the classical fluid equations. The Poisson equation determines die electrostatic wave potential. consider parameters ranging from semiconductor plasmas to metallic plasmas and electron densities of compressed matter such as in laser compression schemes and dense astrophysical objects. Owing to die wave diffraction caused by over-lapping electron wave function because of the Heisenberg uncertainty, principle in dense plasmas; we have the possibility of Landau damping of be high-frequency electron plasma, oscillations at large enough wavenumber. The exact dispersion relations for the electron plasma oscillations are solved numerically and compared with the one's obtained by using approximate formulas for the electron susceptibility in the high- and low-frequency cases.

  • 出版日期2010-2