Processes of creation and propagation of correlations in quantum many-particle systems
DOI:
https://doi.org/10.15407/dopovidi2016.05.058Keywords:
correlation operator, group of nonlinear operators, nonlinear BBGKY hierarchy, quantum kinetic equation, mean field limitAbstract
The communication deals with the problem of a rigorous description of the evolution of states of quantum many-particle systems by means of the correlation operators. We construct a nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators, which describe the processes of creation and propagation of correlations. Moreover, the mean field asymptotic behavior of the constructed marginal correlation operators is established.
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