Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 1, February 2004, Pages 21 - 46

The Heun Equation and the Calogero-Moser-Sutherland System III: The Finite-Gap Property and the Monodromy

Authors
Kouichi Takemura
Corresponding Author
Kouichi Takemura
Received 18 April 2003, Accepted 11 June 2003, Available Online 1 February 2004.
DOI
10.2991/jnmp.2004.11.1.4How to use a DOI?
Abstract

A new approach to the finite-gap property for the Heun equation is constructed. The relationship between the finite-dimensional invariant space and the spectral curve is clarified. The monodromies are calculated and are expressed as hyperelliptic integrals. Applications to the spectral problem for the BC1 Inozemtsev model are obtained.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 1
Pages
21 - 46
Publication Date
2004/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.1.4How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Kouichi Takemura
PY  - 2004
DA  - 2004/02/01
TI  - The Heun Equation and the Calogero-Moser-Sutherland System III: The Finite-Gap Property and the Monodromy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 21
EP  - 46
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.4
DO  - 10.2991/jnmp.2004.11.1.4
ID  - Takemura2004
ER  -