Coulomb quantum kinetics in a dense electron gas
Citations Over TimeTop 10% of 1992 papers
Abstract
The semiclassical Boltzmann equation for a dense electron gas is generalized to a quantum kinetic equation beyond the approximation of isolated collisions. The resulting quantum kinetic equation for the Wigner function contains memory effects, which are determined by the retarded and advanced non- equilibrium Green's functions of the scattered electrons and the screened Coulomb potential. A closed set of equations for the distribution and the spectral functions is given which is exact within the generalized Kadanoff-Baym ansatz and the random-phase approximation. Simplifying approximations are given which result in a quantum kinetic equation with memory kernels similar to those obtained for the electron-phonon scattering. In the limit of completed collisions, the quantum kinetic equation reduces to a Boltzmann equation in which the energy conservation is smeared out due to the finite time interval and due to collision broadening.
Related Papers
- → Stationary measures of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition(2016)15 cited
- → Stationary solutions of the vlasov‐fokker‐planck equation(1987)25 cited
- → Spectrum of a Vlasov-Fokker-Planck operator-II(1981)5 cited
- Comparison between Fokker-Planck Equation and Vlasov Equation in the Research of the Mode Coupling Theory(2003)