English

The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method

Classical Analysis and ODEs 2009-11-07 v2 Mathematical Physics math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

We propose and develop the Bethe Ansatz method for the Heun equation. As an application, holomorphy of the perturbation for the BC_1 Inozemtsev model from the trigonometric model is proved.

Keywords

Cite

@article{arxiv.math/0103077,
  title  = {The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method},
  author = {Kouichi Takemura},
  journal= {arXiv preprint arXiv:math/0103077},
  year   = {2009}
}

Comments

31 pages, revised