Towards Finite-Gap Integration of the Inozemtsev Model
The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147824 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Towards Finite-Gap Integration of the Inozemtsev Model / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862660857115181056 |
|---|---|
| author | Takemura, K. |
| author_facet | Takemura, K. |
| citation_txt | Towards Finite-Gap Integration of the Inozemtsev Model / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models.
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| first_indexed | 2025-12-02T11:37:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147824 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T11:37:13Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takemura, K. 2019-02-16T08:53:51Z 2019-02-16T08:53:51Z 2007 Towards Finite-Gap Integration of the Inozemtsev Model / K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R12; 33E10; 34M35 https://nasplib.isofts.kiev.ua/handle/123456789/147824 The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The author would like to thank the referees for valuable comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Towards Finite-Gap Integration of the Inozemtsev Model Article published earlier |
| spellingShingle | Towards Finite-Gap Integration of the Inozemtsev Model Takemura, K. |
| title | Towards Finite-Gap Integration of the Inozemtsev Model |
| title_full | Towards Finite-Gap Integration of the Inozemtsev Model |
| title_fullStr | Towards Finite-Gap Integration of the Inozemtsev Model |
| title_full_unstemmed | Towards Finite-Gap Integration of the Inozemtsev Model |
| title_short | Towards Finite-Gap Integration of the Inozemtsev Model |
| title_sort | towards finite-gap integration of the inozemtsev model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147824 |
| work_keys_str_mv | AT takemurak towardsfinitegapintegrationoftheinozemtsevmodel |