arXiv:2107.10872 Abstract | arXiv Analytics

arXiv:2107.10872 [math-ph]Abstract References Reviews Resources

Kinetic equations and hierarchies of evolution equations of quantum systems

Published 2021-07-22Version 1

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.

Comments: 28 pages

Categories: math-ph, cond-mat.stat-mech, math.AP, math.MP, quant-ph

Subjects: 35Q20, 47J35

Keywords: quantum systems, evolution equations, kinetic equations, hierarchies, kinetic nonlinear equations

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