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

• Datum: 2006
• Hauptverfasser: Gerasimenko, V. I., Shtyk, V. O., Герасименко, В. І., Штик, В. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3521
• Назва журналу: 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...