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...
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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2010
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/32088 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-32088 |
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dspace |
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irk-123456789-320882012-04-10T01:36:36Z Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity Bogolyubov (jr), N.N. Sankovich, D.P. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/32088 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bogolyubov (jr), N.N. Sankovich, D.P. |
| spellingShingle |
Bogolyubov (jr), N.N. Sankovich, D.P. Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity Condensed Matter Physics |
| author_facet |
Bogolyubov (jr), N.N. Sankovich, D.P. |
| author_sort |
Bogolyubov (jr), N.N. |
| title |
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_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_sort |
asymptotic exactness of c-number substitution in bogolyubov's theory of superfluidity |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/32088 |
| 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. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT bogolyubovjrnn asymptoticexactnessofcnumbersubstitutioninbogolyubovstheoryofsuperfluidity AT sankovichdp asymptoticexactnessofcnumbersubstitutioninbogolyubovstheoryofsuperfluidity |
| first_indexed |
2023-10-18T17:33:57Z |
| last_indexed |
2023-10-18T17:33:57Z |
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1796141882293616640 |