Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity
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...
Gespeichert in:
| Veröffentlicht in: | Condensed Matter Physics |
|---|---|
| Datum: | 2010 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2010
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/32088 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703129634537472 |
|---|---|
| author | Bogolyubov (jr), N.N. Sankovich, D.P. |
| author_facet | Bogolyubov (jr), N.N. Sankovich, D.P. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| description | 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 condensate in the model. For some temperatures and some positive values of the chemical potential, there is a gapless Bogolyubov spectrum of elementary excitations, leading to a proper microscopic interpretation of superfluidity.
|
| first_indexed | 2025-12-07T16:46:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-32088 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T16:46:43Z |
| publishDate | 2010 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Bogolyubov (jr), N.N. Sankovich, D.P. 2012-04-08T15:20:43Z 2012-04-08T15:20:43Z 2010 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. 1607-324X PACS: 05.30.Jp, 03.75.Fi, 67.40.-w https://nasplib.isofts.kiev.ua/handle/123456789/32088 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 condensate in the model. For some temperatures and some positive values of the chemical potential, there is a gapless Bogolyubov spectrum of elementary excitations, leading to a proper microscopic interpretation of superfluidity. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity Article published earlier |
| spellingShingle | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity Bogolyubov (jr), N.N. Sankovich, D.P. |
| title | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity |
| title_full | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity |
| title_fullStr | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity |
| title_full_unstemmed | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity |
| title_short | Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity |
| title_sort | asymptotic exactness of c-number substitution in bogolyubov's theory of superfluidity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/32088 |
| work_keys_str_mv | AT bogolyubovjrnn asymptoticexactnessofcnumbersubstitutioninbogolyubovstheoryofsuperfluidity AT sankovichdp asymptoticexactnessofcnumbersubstitutioninbogolyubovstheoryofsuperfluidity |