On non-perturbative solution of quantum BBGKY hierarchy

• Date: 2016
• Author Affiliations: V. I. Gerasimenko — Institute of Mathematics, NAS of Ukraine; V. V. Krechko — Institute of Mathematics, NAS of Ukraine
• Keywords: keywords
• Main Authors: Gerasimenko, V. I., Krechko, V. V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/250
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We consider some approaches to the construction of a non-perturbative solution of the Cauchy problem of the quantum BBGKY hierarchy for a sequence of marginal density operators and analyze its properties for initial data from the space of sequences of trace class operators. One is represented in the...