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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2007
1. Verfasser: Takemura, K.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2007
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147824
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
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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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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