English

Towards Finite-Gap Integration of the Inozemtsev Model

Classical Analysis and ODEs 2008-04-24 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some approaches to the finite-gap integration for multivariable models.

Keywords

Cite

@article{arxiv.math/0703057,
  title  = {Towards Finite-Gap Integration of the Inozemtsev Model},
  author = {Kouichi Takemura},
  journal= {arXiv preprint arXiv:math/0703057},
  year   = {2008}
}

Comments

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/