On Dynamics of Correlations in Quantum Many-Particle Systems
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.
Keywords
Cite
@article{arxiv.1512.03938,
title = {On Dynamics of Correlations in Quantum Many-Particle Systems},
author = {V. I. Gerasimenko},
journal= {arXiv preprint arXiv:1512.03938},
year = {2017}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:1407.1633