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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2007-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2007/038/ |
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Article |
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doaj-0d996e7bdfcb4ce092e12c31d0542d712020-11-25T01:09:45ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-03-013038Towards Finite-Gap Integration of the Inozemtsev ModelKouichi TakemuraThe 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.http://www.emis.de/journals/SIGMA/2007/038/finite-gap integrationInozemtsev modelHeun's equationDarboux transformation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kouichi Takemura |
| spellingShingle |
Kouichi Takemura Towards Finite-Gap Integration of the Inozemtsev Model Symmetry, Integrability and Geometry: Methods and Applications finite-gap integration Inozemtsev model Heun's equation Darboux transformation |
| author_facet |
Kouichi Takemura |
| author_sort |
Kouichi Takemura |
| title |
Towards Finite-Gap Integration of the Inozemtsev Model |
| title_short |
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_sort |
towards finite-gap integration of the inozemtsev model |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2007-03-01 |
| 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. |
| topic |
finite-gap integration Inozemtsev model Heun's equation Darboux transformation |
| url |
http://www.emis.de/journals/SIGMA/2007/038/ |
| work_keys_str_mv |
AT kouichitakemura towardsfinitegapintegrationoftheinozemtsevmodel |
| _version_ |
1725176848002842624 |