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