Mean Field Asymptotics of Generalized Quantum Kinetic Equation
Mathematical Physics
2012-11-29 v1 Quantum Gases
Statistical Mechanics
Analysis of PDEs
math.MP
Abstract
We construct the mean field asymptotics of a solution of initial-value problem of the generalized quantum kinetic equation and a sequence of explicitly defined unctionals of a solution of stated kinetic equation. As a result the quantum Vlasov kinetic equation is rigorously derived. Moreover, in case of the presence of correlations of particles at initial time the mean field limit of a solution of the generalized quantum kinetic equation is constructed.
Keywords
Cite
@article{arxiv.1207.6719,
title = {Mean Field Asymptotics of Generalized Quantum Kinetic Equation},
author = {V. I. Gerasimenko and Zh. A. Tsvir},
journal= {arXiv preprint arXiv:1207.6719},
year = {2012}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1109.1998