中文

Quasi-exact solvability of Inozemtsev models

量子代数 2007-05-23 v3 数学物理 经典分析与常微分方程 math.MP 可精确求解与可积系统

摘要

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.

引用

@article{arxiv.math/0205274,
  title  = {Quasi-exact solvability of Inozemtsev models},
  author = {Kouichi Takemura},
  journal= {arXiv preprint arXiv:math/0205274},
  year   = {2007}
}

备注

16 pages