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arXiv · 1207.6719

Mean Field Asymptotics of Generalized Quantum Kinetic Equation

V. I. Gerasimenko·Zh. A. Tsvir
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Abstract

We construct the mean field asymptotics of a solution of initial-value problem of the generalized quantum kinetic equation and a sequence of explicitly defined unctionals of a solution of stated kinetic equation. As a result the quantum Vlasov kinetic equation is rigorously derived. Moreover, in case of the presence of correlations of particles at initial time the mean field limit of a solution of the generalized quantum kinetic equation is constructed.

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V. I. Gerasimenko, Zh. A. Tsvir. 2012-07-28. Mean Field Asymptotics of Generalized Quantum Kinetic Equation. https://doi.org/10.1016/s0034-4877(12)60034-2

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