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Mathematical Physics

Title: Kinetic equations and hierarchies of evolution equations of quantum systems

Authors: V. I. Gerasimenko
(Submitted on 22 Jul 2021)
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.
Comments: 28 pages
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)
MSC classes: 35Q20, 47J35
Journal reference: In: Modern Problems of Mathematics and its Applications. I. (Eds. V.I. Gerasimenko et al.), Kyiv: IM, 2020, 82-112. ISSN: 1815-2910 The book is dedicated to the 100th anniversary of the Institute of Mathematics of NAS of Ukraine
Cite as: arXiv:2107.10872 [math-ph]
  (or arXiv:2107.10872v1 [math-ph] for this version)

Submission history

From: Viktor Gerasimenko I [view email]
[v1] Thu, 22 Jul 2021 18:10:17 GMT (24kb)
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