Mean Field Asymptotics of Generalized Quantum Kinetic Equation

Autor:	Gerasimenko, V. I., Tsvir, Zh. A.
Rok vydání:	2012
Předmět:	Mathematical Physics Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics Mathematics - Analysis of PDEs 35Q40 35Q82 47J35 82C10 82C40
Zdroj:	Reports on Math. Phys. 70 (2) (2012) 135-147
Druh dokumentu:	Working Paper
DOI:	10.1016/S0034-4877(12)60034-2
Popis:	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. Comment: 18 pages. arXiv admin note: text overlap with arXiv:1109.1998
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1207.6719 Zobrazit plný text záznamu View this record from Arxiv