Quasi-exact solvability of Inozemtsev models

Details Quasi-exact solvability of Inozemtsev models Quasi-exact solvability of Inozemtsev models

2002-05-27

arxiv.org/abs/math/0205274v3

J. Phys. A: Math. Gen. 35 (2002) 8867-8881

Mathematics

Quantum Algebra

16 pages

Scientific paper

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.

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