Mean-field- and classical limit of many-body Schrodinger dynamics for bosons

被引：61
作者：
Froehlich, Jierg [1 ]
Graffi, Sandro
Schwarz, Simon
机构：
[1] ETH, Theoret Phys, Zurich, Switzerland
[2] Univ Bologna, Dipartmento Matemat, Bologna, Italy
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 271卷 / 03期
关键词：
D O I：
10.1007/s00220-007-0207-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a new proof of the convergence of the N-particle Schrodinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a restricted class of two-body interactions, we obtain convergence estimates uniform in h, up to an exponentially small remainder. For h = 0, the classical dynamics in the mean-field limit is given by the Vlasov equation.
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收藏
页码：681 / 697
页数：17
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