Calogero Model(s) and Deformed Oscillators
We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization of the harmonic oscillator Hamiltonian. We make some comments on the solvab...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146426 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Calogero Model(s) and Deformed Oscillators / M. Milekovic, S. Meljanac, A. Samsarov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 36 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862633716420968448 |
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| author | Milekovic, M. Meljanac, S. Samsarov, A. |
| author_facet | Milekovic, M. Meljanac, S. Samsarov, A. |
| citation_txt | Calogero Model(s) and Deformed Oscillators / M. Milekovic, S. Meljanac, A. Samsarov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 36 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization of the harmonic oscillator Hamiltonian. We make some comments on the solvability of these models.
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| first_indexed | 2025-11-30T15:30:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146426 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T15:30:54Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Milekovic, M. Meljanac, S. Samsarov, A. 2019-02-09T16:49:45Z 2019-02-09T16:49:45Z 2006 Calogero Model(s) and Deformed Oscillators / M. Milekovic, S. Meljanac, A. Samsarov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 36 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R12; 81R15; 81Q05; 46L65 https://nasplib.isofts.kiev.ua/handle/123456789/146426 We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization of the harmonic oscillator Hamiltonian. We make some comments on the solvability of these models. One of the authors (M.M.) would like to thank organizers of the Sixth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 20–26, 2005, Kyiv) for their invitation and warm hospitality. The present paper is a written version of the talk delivered by M.M. at this conference. It is supported by Ministry of Science, Education and Sport of the Republic of Croatia (contracts Nos. 0119261 and 0098003). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Calogero Model(s) and Deformed Oscillators Article published earlier |
| spellingShingle | Calogero Model(s) and Deformed Oscillators Milekovic, M. Meljanac, S. Samsarov, A. |
| title | Calogero Model(s) and Deformed Oscillators |
| title_full | Calogero Model(s) and Deformed Oscillators |
| title_fullStr | Calogero Model(s) and Deformed Oscillators |
| title_full_unstemmed | Calogero Model(s) and Deformed Oscillators |
| title_short | Calogero Model(s) and Deformed Oscillators |
| title_sort | calogero model(s) and deformed oscillators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146426 |
| work_keys_str_mv | AT milekovicm calogeromodelsanddeformedoscillators AT meljanacs calogeromodelsanddeformedoscillators AT samsarova calogeromodelsanddeformedoscillators |