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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Datum:2011
Hauptverfasser: Gerasimenko, Victor Ivanovich, Polishchuk, Denis Olegovich
Format: Artikel
Sprache:Englisch
Veröffentlicht: Кам'янець-Подільський національний університет імені Івана Огієнка 2011
Online Zugang:http://mcm-math.kpnu.edu.ua/article/view/23736
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Назва журналу:Mathematical and computer modelling. Series: Physical and mathematical sciences

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Mathematical and computer modelling. Series: Physical and mathematical sciences
Beschreibung
Zusammenfassung: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.