# 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} }

## 15 Citations

### Kinetic equations and hierarchies of evolution equations of quantum systems

- Physics
- 2021

The article provides an overview of some advances in the mathematical understanding of the nature of the kinetic equations of quantum systems of many particles. The fundamental equations of modern…

### On Dynamics of Correlations in Quantum Many-Particle Systems

- Mathematics, Physics
- 2015

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…

### Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations

- Physics
- 2014

In the paper we consider the problem of the rigorous description of the kinetic evolution in the presence of initial correlations of quantum large particle systems. One of the developed approaches…

### New approach to derivation of quantum kinetic equations with initial correlations

- Physics
- 2015

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

- Physics
- 2016

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

- Mathematics, Physics
- 2018

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

- Physics
- 2020

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…

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

- Mathematics, PhysicsPanorama 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

- Computer Science
- 2018

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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