Rate of Convergence Towards Hartree Dynamics

被引：61
|
作者：
Chen, Li [3 ]
Lee, Ji Oon [2 ]
Schlein, Benjamin [1 ]
机构：
[1] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany
[2] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea
[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF STATISTICAL PHYSICS | 2011年 / 144卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Many body quantum dynamics; Hartree equation; Mean field limit; CLASSICAL FIELD LIMIT; SCATTERING THEORY; QUANTUM DYNAMICS;
D O I：
10.1007/s10955-011-0283-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schrodinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time. The N-dependence of the bound is optimal.
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页码：872 / 903
页数：32
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