ЕВОЛЮЦІЯ РІВНЯНЬ ДЛЯ МАРГІНАЛЬНИХ ОПЕРАТОРІВ КОРЕЛЯЦІЇ

This paper is devoted to the problem of the description of nonequilibrium correlations of quantum many-particle systems. A non-perturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed as an expansion over particle clusters...

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Bibliographic Details
Date:2011
Main Authors: Gerasimenko, Victor Ivanovich, Polishchuk, Denis Olegovich
Format: Article
Language:English
Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2011
Online Access:http://mcm-math.kpnu.edu.ua/article/view/23736
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Journal Title:Mathematical and computer modelling. Series: Physical and mathematical sciences

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Mathematical and computer modelling. Series: Physical and mathematical sciences
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Summary:This paper is devoted to the problem of the description of nonequilibrium correlations of quantum many-particle systems. A non-perturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed as an expansion over particle clusters which evolution is governed by the corresponding-order cumulant of the nonlinear groups of operators generated by the von Neumann hierarchy.