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- Title
Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles.
- Authors
Herasymenko, V.; Shtyk, V.
- Abstract
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.
- Subjects
PARTICLES; EQUIVALENCE principle (Physics); DISTRIBUTION (Probability theory); MAXWELL-Boltzmann distribution law; QUANTUM theory
- Publication
Ukrainian Mathematical Journal, 2006, Vol 58, Issue 9, p1329
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-006-0136-z