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Kinetic equations and hierarchies of evolution equations of quantum systems

Published 22 Jul 2021 in math-ph, cond-mat.stat-mech, math.AP, math.MP, and quant-ph | (2107.10872v1)

Abstract: 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.

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