Rate of Convergence Towards Hartree Dynamics

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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.
Publisher
Springer
Issue Date
2011-08
Language
English
Article Type
Article
Citation

JOURNAL OF STATISTICAL PHYSICS, v.144, no.4, pp.872 - 903

ISSN
0022-4715
URI
http://hdl.handle.net/10203/95328
Appears in Collection
MA-Journal Papers(저널논문)
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