The relation between fractional statistics and finite bosonic systems in one-dimensional case
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/117141 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The relation between fractional statistics and finite bosonic systems in one-dimensional case / A. Rovenchak // Физика низких температур. — 2009. — Т. 35, № 5. — С. 510-513. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862666938759512064 |
|---|---|
| author | Rovenchak, A. |
| author_facet | Rovenchak, A. |
| citation_txt | The relation between fractional statistics and finite bosonic systems in one-dimensional case / A. Rovenchak // Физика низких температур. — 2009. — Т. 35, № 5. — С. 510-513. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum.
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| first_indexed | 2025-12-07T15:21:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117141 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T15:21:46Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Rovenchak, A. 2017-05-20T07:24:05Z 2017-05-20T07:24:05Z 2009 The relation between fractional statistics and finite bosonic systems in one-dimensional case / A. Rovenchak // Физика низких температур. — 2009. — Т. 35, № 5. — С. 510-513. — Бібліогр.: 32 назв. — англ. 0132-6414 PACS: 05.30.Ch, 05.30.Jp, 05.30.Pr https://nasplib.isofts.kiev.ua/handle/123456789/117141 The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum. I am grateful to my colleagues Prof. Volodymyr Tkachuk,
 Dr. Taras Fityo, and Yuri Krynytskyi for useful discussions
 and comments regarding the presented material. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкоразмерные и неупорядоченные системы The relation between fractional statistics and finite bosonic systems in one-dimensional case Article published earlier |
| spellingShingle | The relation between fractional statistics and finite bosonic systems in one-dimensional case Rovenchak, A. Низкоразмерные и неупорядоченные системы |
| title | The relation between fractional statistics and finite bosonic systems in one-dimensional case |
| title_full | The relation between fractional statistics and finite bosonic systems in one-dimensional case |
| title_fullStr | The relation between fractional statistics and finite bosonic systems in one-dimensional case |
| title_full_unstemmed | The relation between fractional statistics and finite bosonic systems in one-dimensional case |
| title_short | The relation between fractional statistics and finite bosonic systems in one-dimensional case |
| title_sort | relation between fractional statistics and finite bosonic systems in one-dimensional case |
| topic | Низкоразмерные и неупорядоченные системы |
| topic_facet | Низкоразмерные и неупорядоченные системы |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117141 |
| work_keys_str_mv | AT rovenchaka therelationbetweenfractionalstatisticsandfinitebosonicsystemsinonedimensionalcase AT rovenchaka relationbetweenfractionalstatisticsandfinitebosonicsystemsinonedimensionalcase |