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Paper detail

Mean Field Asymptotics of Generalized Quantum Kinetic Equation

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.

preprint2012arXivOpen access
V. I. GerasimenkoZh. A. Tsvir
cond-mat.stat-mechmath.APmath-phmath.MPcond-mat.quant-gas
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V. I. GerasimenkoZh. A. Tsvir

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