Quasi-exact solvability of Inozemtsev models
Quantum Algebra
2007-05-23 v3 Mathematical Physics
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
Finite-dimensional spaces which are invariant under the action of the Hamiltonian of the BC_N Inozemtsev model are introduced, and it is shown that higher commuting operators also preserve the finite-dimensional spaces. The relationship between the finite-dimensional spaces of the BC_N Inozemtsev models and the theta-type invariant spaces of the BC_N Ruijsenaars models is clarified. The degeneration of the BC_N Inozemtsev models and the correspondence of their invariant spaces are considered.
Keywords
Cite
@article{arxiv.math/0205274,
title = {Quasi-exact solvability of Inozemtsev models},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0205274},
year = {2007}
}
Comments
16 pages