The Heun Equation and the Calogero-moser-sutherland System Iii : the Finite-gap Property and the Monodromy

@inproceedings{Takemura2001TheHE,
title={The Heun Equation and the Calogero-moser-sutherland System Iii : the Finite-gap Property and the Monodromy},
author={Kouichi Takemura},
year={2001}
}

where ℘(x) is the Weierstrass ℘-function with periods (1, τ), ω0 = 0, ω1 = 1 2 , ω2 = − τ+1 2 , ω3 = τ 2 are half-periods, and li (i = 0, 1, 2, 3) are coupling constants. This model is a one-particle version of the BCN Inozemtsev system [6], which is known to be the universal quantum integrable system with BN symmetry [6, 11]. The BCN Calogero-Moser-Sutherland systems are special cases of BCN Inozemtsev systems. It is known that there is a correspondence between the BC1 Inozemtsev model and the… CONTINUE READING