Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2010
• ISSN: 1607-324X
• Hauptverfasser: Bogolyubov (jr), N.N., Sankovich, D.P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/32088
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity / N.N. Bogolyubov, Jr., D.P. Sankovich // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23002: 1-6. — Бібліогр.: 14 назв. — англ.

The Bogolyubov model of liquid helium is considered. The validity of substituting a c-number for the k=0 mode operator â0 is established rigorously. The domain of stability of the Bogolyubov's Hamiltonian is found. We derive sufficient conditions which ensure the appearance of the Bose condensa...