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arxiv: 1207.6719 · v1 · pith:RPZ6RIUSnew · submitted 2012-07-28 · 🧮 math-ph · cond-mat.quant-gas· cond-mat.stat-mech· math.AP· math.MP

Mean Field Asymptotics of Generalized Quantum Kinetic Equation

classification 🧮 math-ph cond-mat.quant-gascond-mat.stat-mechmath.APmath.MP
keywords equationkineticquantumfieldgeneralizedmeansolutionasymptotics
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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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