期刊
JOURNAL OF STATISTICAL PHYSICS
卷 144, 期 4, 页码 872-903出版社
SPRINGER
DOI: 10.1007/s10955-011-0283-y
关键词
Many body quantum dynamics; Hartree equation; Mean field limit
资金
- National Natural Science Foundation of China (NSFC) [10871112]
- ERC
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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