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. 
V.I. Gerasimenko, Zh.A. Tsvir
math-ph cond-mat.quant-gas cond-mat.stat-mech math.AP math.MP