The Heun Equation and the Calogero-Moser-Sutherland System I: The Bethe Ansatz Method

2001/03/31 by Kouichi Takemura · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.CA #math.MP #math.QA #msc:33E15 #msc:82B23 #nlin.SI

paper · pdf · doi:10.1007/s00220-002-0784-2

published as Commun. Math. Phys. 235 (2003) 467-494 · 31 pages, revised

arxiv created 2002/11/04 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We propose and develop the Bethe Ansatz method for the Heun equation. As an application, holomorphy of the perturbation for the BC₁ Inozemtsev model from the trigonometric model is proved.

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