Нелінійні кінетичні рівняння квантових систем

The article overviews some achievements in the mathematical understanding of the nature of kinetic equations of quantum many-particle systems. The fundamental equations of modern mathematical physics, in particular, the hierarchies of evolutionary equations of quantum systems and their asymptotic be...

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Bibliographic Details
Date:2022
Author Affiliations:
  • Віктор Герасименко — Інститут математики НАН України, м.~Київ
Keywords:keywords
Main Author: Герасименко, Віктор
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2022
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/505
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine

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Transactions of Institute of Mathematics of NAS of Ukraine
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Summary:The article overviews some achievements in the mathematical understanding of the nature of kinetic equations of quantum many-particle systems. The fundamental equations of modern mathematical physics, in particular, the hierarchies of evolutionary equations of quantum systems and their asymptotic behavior, which is described by nonlinear kinetic equations, are studied.