Evolution of correlation operators of large particle quantum systems

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Keywords:

Group of nonlinear operators, marginal correlation operator, nonlinear BBGKY hierarchy, scaling limit

Abstract

The paper deals with the problem of a rigorous description of the evolution of states of large particle quantum systems in terms of correlation operators. A nonperturbative solution to a Cauchy problem of a hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. Moreover, in the case where the initial states are specified by a one-particle density operator, the mean field scaling asymptotic behavior of the constructed marginal correlation operators is considered.

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Published

2017-06-25

Issue

Vol. 23 No. 2 (2017)

Section

Articles

How to Cite

Gerasimenko, V. I. “Evolution of Correlation Operators of Large Particle Quantum Systems”. Methods of Functional Analysis and Topology, vol. 23, no. 2, June 2017, pp. 123-32, https://zen.imath.kiev.ua/index.php/mfat/article/view/658.