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

Autor:	V. I. Herasymenko, V. O. Shtyk
Rok vydání:	2006
Předmět:	Pure mathematics General Mathematics Mathematical analysis Initial value problem Uniqueness Equivalence (formal languages) Quantum Mathematics
Zdroj:	Ukrainian Mathematical Journal. 58:1329-1346
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-006-0136-z
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1333e4fb88cc8af6e5a354dbacd3a4b https://doi.org/10.1007/s11253-006-0136-z Zobrazit plný text záznamu Plný text ve formátu PDF