A remark on the mean-field dynamics of many-body bosonic systems with random interactions
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
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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Cite
@article{arxiv.0711.2617,
title = {A remark on the mean-field dynamics of many-body bosonic systems with random interactions},
author = {Walid K. Abou Salem},
journal= {arXiv preprint arXiv:0711.2617},
year = {2009}
}
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6 pages