TY - JOUR
AU - V. I. Gerasimenko
AU - V. O. Shtyk
PY - 2006/09/25
Y2 - 2023/02/09
TI - Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 58
IS - 9
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3521
AB - 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 equivalence problem for various representations of a solution in the case of the Maxwell-Boltzmann statistics.
ER -