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On quantum kinetic equations of many-particle systems in condensed states |
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| Authors: | V.I. Gerasimenko Zh.A. Tsvir |
| Affiliation: | 1. Institute of Mathematics of NAS of Ukraine, Ukraine;2. Taras Shevchenko National University of Kyiv, Ukraine |
| Abstract: | We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator, which enables us to construct the kinetic equations in scaling limits in the presence of correlations of particle states at initial time, for instance, correlations characterizing the condensed states. |
| Keywords: | Quantum kinetic equation Nonlinear Schrö dinger equation Scaling limit Cumulant of scattering operators Quantum correlation |
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