On quantum kinetic equations of many-particle systems in condensed states

@article{Gerasimenko2011OnQK,
  title={On quantum kinetic equations of many-particle systems in condensed states},
  author={Viktor Ivanovich Gerasimenko and Zh.A. Tsvir},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2011},
  volume={391},
  pages={6362-6366}
}
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15 Citations
Background Citations
7
Methods Citations
3

15 Citations

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We propose a new approach to the derivation of kinetic equations from dynamics of large particle quantum systems, involving correlations of particle states at initial time. The developed approach is…

On processes of creation and propagation of correlations in quantum many-particle systems

Evolution of Correlations of Many-Particle Quantum Systems in Condensed States

We review some new approaches to the description of the evolution of states of many-particle quantum systems by means of the correlation operators. Using the denition of marginal correlation…

On Operators Generated by Density Matrix

In this survey the possible approaches to the description of the evolution of states of quantum many-particle systems by means of the possible modifications of the density operator which kernel known…

Mean Field Asymptotics of Generalized Quantum Kinetic Equation

Processes of Creation and Propagation of Correlations in Large Quantum Particle System

  • V. Gerasimenko
  • Mathematics, Physics
    Panorama of Contemporary Quantum Mechanics - Concepts and Applications
  • 2019
We review new approaches to the description of the evolution of states of large quantum particle systems by means of the marginal correlation operators. Using the definition of marginal correlation…

Kinetic Equations of Active Soft Matter

This representation of the kinetic evolution seems to be the direct mathematically fully consistent formulation modeling the collective behavior of biological systems since the traditional notion of the state in kinetic theory is more subtle and it is an implicit characteristic of the populations of living creatures.

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