V.I. Gerasimenko
Towards rigorous description of correlations of quantum states by means of kinetic equations
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ABSTRACT.  We develop an approach to the description of processes of the creation of correlations and the propagation of initial correlations in large particle quantum systems by means of a one-particle density operator that is a solution of the generalized quantum kinetic equation with initial correlations. Moreover, a mean field asymptotic behavior of the 
constructed correlation operators of the quantum states is established.