Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles
AbstractWe 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 equivalence problem for various representations of a solution in the case of the Maxwell-Boltzmann statistics.
How to Cite
Gerasimenko, V. I., and V. O. Shtyk. “Initial-Value Problem for the Bogolyubov Hierarchy for Quantum Systems of Particles”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 9, Sept. 2006, pp. 1175–1191, https://umj.imath.kiev.ua/index.php/umj/article/view/3521.