The Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution
Classical Analysis and ODEs
2007-05-23 v3 Mathematical Physics
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
We apply a method of perturbation for the Inozemtsev model from the trigonometric model and show the holomorphy of perturbation.Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between space and some finite dimensional space of elliptic functions.
Keywords
Cite
@article{arxiv.math/0112179,
title = {The Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0112179},
year = {2007}
}
Comments
30 pages, to appear in Electronic Journal of Differential Equations