From the Hartree Dynamics to the Vlasov Equation

被引：32
|
作者：
Benedikter, Niels [1 ]
Porta, Marcello [2 ]
Saffirio, Chiara [2 ]
Schlein, Benjamin [2 ]
机构：
[1] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark
[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 221卷 / 01期
关键词：
MEAN-FIELD LIMIT; FOCK EQUATION; APPROXIMATION;
D O I：
10.1007/s00205-015-0961-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.
引用
收藏
页码：273 / 334
页数：62
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