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arXiv · 1512.03938

On Dynamics of Correlations in Quantum Many-Particle Systems

V. I. Gerasimenko
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Abstract

The paper deals with the problem of the rigorous description of the evolution of states of large particle quantum systems by means of correlation operators. A nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. For initial states specified in terms of a one-particle density operator and correlation operators we also develop an approach to the description of the processes of the creation and the propagation of correlations within the framework of a one-particle density operator. Moreover, the mean field asymptotic behavior of constructed marginal correlation operators is established.

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V. I. Gerasimenko. 2015-12-12. On Dynamics of Correlations in Quantum Many-Particle Systems. https://arxiv.org/abs/1512.03938

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