# Kinetic equations and hierarchies of evolution equations of quantum systems

@inproceedings{Gerasimenko2021KineticEA, title={Kinetic equations and hierarchies of evolution equations of quantum systems}, author={Viktor Ivanovich Gerasimenko}, year={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 mathematical physics are studied, in particular, the hierarchies of evolution equations of quantum systems and their asymptotic behavior described by kinetic nonlinear equations.

#### One Citation

Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method

- Physics, Mathematics
- Proceedings of the Steklov Institute of Mathematics
- 2021

Abstract Following the ideas N. N. Bogoliubov used to derive the classical and quantum nonlinear kinetic equations, we derive the Redfield quantum linear master equation, which is widely used in the… Expand

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