A remark on the mean-field dynamics of many-body bosonic systems with random interactions

Details A remark on the mean-field dynamics of many-body bosonic systems with random interactions A remark on the mean-field dynamics of many-body bosonic systems with random interactions

2007-11-16

arxiv.org/abs/0711.2617v1

Physics

Mathematical Physics

6 pages

Scientific paper

10.1007/s11005-008-0250-y

The mean-field limit for the dynamics of bosons with random interactions is rigorously studied. It is shown that, for interactions that are almost-surely bounded, the many-body quantum evolution can be replaced in the mean-field limit by a single particle nonlinear evolution that is described by the Hartree equation. This is an Egorov-type theorem for many-body quantum systems with random interactions.

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