The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy

2002/01/31 by Kouichi Takemura
Mathematics · Physics and Astronomy · #math.CA #math-ph #math.MP #math.QA #math.SP #nlin.SI #msc:33E15 #msc:34B30 #msc:14H70

paper · pdf

published as J. Nonlinear Math. Phys. 11 (2004), no. 1, 21-46 · 24 pages

arxiv created 2004/02/05 · arxiv updated 2009/11/30

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.

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