Quasi-exact solvability of Inozemtsev models
Abstract
Finite-dimensional spaces which are invariant under the action of the Hamiltonian of the BCN 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 BCN Inozemtsev models and the theta-type invariant spaces of the BCN Ruijsenaars models is clarified. The degeneration of the BCN Inozemtsev models and the correspondence of their invariant spaces are considered.
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