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
Received 18 April 2003, Accepted 11 June 2003, Available Online 1 February 2004.
- https://doi.org/10.2991/jnmp.2004.11.1.4How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Kouichi Takemura PY - 2004 DA - 2004/02 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 - https://doi.org/10.2991/jnmp.2004.11.1.4 ID - Takemura2004 ER -