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arXiv:1105.5822 · Mathematical Methods in the Applied Sciences

A nonperturbative solution of the nonlinear BBGKY hierarchy for marginal correlation operators

V. I. Gerasimenko, D.O. Polishchuk

Published Feb 14, 2013• 7 citations
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Abstract

We consider the problem of the rigorous description of nonequilibrium quantum correlations. Within the framework of an alternative approach to the description of the evolution of states of finitely many particles in terms of correlation operators governed by the von Neumann hierarchy, we derive the nonlinear quantum Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) hierarchy for marginal correlation operators that is adopted to the description of quantum infinite‐particle systems as well. A nonperturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed. Copyright © 2013 John Wiley & Sons, Ltd.

DOI
10.1002/mma.2753

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