Quantum master equation for a system of identical particles
Abstract
We consider an open quantum many-particle system in which there are dissipative processes. The evolution of this system is described by a kinetic equation for the density matrix. From the equation describing a random Markov process in this system, we obtain an equation for the single-particle statistical operator. This equation describes the evolution of a system of identical particles in a mean-field approximation. The equation for interacting particles in thermodynamic equilibrium was obtained. The distribution function of a system of interacting electrons in metals has multivalence in a certain region of wave vectors. Among many solutions one is isotropic. Other solutions have the anisotropy of the electron distribution over the wave vectors. The anisotropy arises as a result of repulsion and attraction between electrons.
Cite
@article{arxiv.1301.4712,
title = {Quantum master equation for a system of identical particles},
author = {Boris Bondarev},
journal= {arXiv preprint arXiv:1301.4712},
year = {2013}
}
Comments
12 pages