Rate of Convergence Towards Hartree Dynamics

被引：63

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.

引用

页码：872 / 903

页数：32

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