Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles

• Date: 2006
• Main Authors: Gerasimenko, V. I., Shtyk, V. O., Герасименко, В. І., Штик, В. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3521
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct cumulant (semi-invariant) representations for a solution of the initial-value problem for the Bogolyubov hierarchy for quantum systems of particles. In the space of sequences of trace-class operators, we prove a theorem on the existence and uniqueness of a solution. We study the equival...