Kadanoff-Baym equations and non-Markovian Boltzmann equation in generalized T-matrix approximation
Abstract
A recently developed method for incorporating initial binary correlations into the Kadanoff-Baym equations (KBE) is used to derive a generalized T-matrix approximation for the self-energies. It is shown that the T-matrix obtains additional contributions arising from initial correlations. Using these results and taking the time-diagonal limit of the KBE, a generalized quantum kinetic equation in binary collision approximation is derived. This equation is a far-reaching generalization of Boltzmann-type kinetic equations: it selfconsistently includes memory effects (retardation, off-shell T-matrices) as well as many-particle effects (damping, in-medium T-Matrices) and spin-statistics effects (Pauli-blocking).
Keywords
Cite
@article{arxiv.cond-mat/9912384,
title = {Kadanoff-Baym equations and non-Markovian Boltzmann equation in generalized T-matrix approximation},
author = {D. Semkat and D. Kremp and M. Bonitz},
journal= {arXiv preprint arXiv:cond-mat/9912384},
year = {2015}
}
Comments
9 pages, 7 figures, corrected misprints in eqs. 48-50