Evolution of correlation operators of large particle quantum systems. (English) Zbl 1389.82001

Gerasimenko, V. I.

Methods Funct. Anal. Topol. 23, No. 2, 123-132 (2017).

The author develops an approach to describe an evolution of states of quantum systems of large number of particles by means of marginal correlation operators. A non-perturbative solution of the Cauchy problem for the hierarchy of nonlinear equations for marginal correlation operators is constructed. For the case where the initial states are determined by a one-particle density operator, the mean field asymptotic behavior of solutions is established.

Reviewer: Anatoly N. Kochubei (Kyïv)

MSC:

82C10	Quantum dynamics and nonequilibrium statistical mechanics (general)
82C21	Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
35Q40	PDEs in connection with quantum mechanics

Keywords:

quantum systems of large number of particles; marginal correlation operators