On the Inozemtsev model
arXiv:math-ph/0312037 · doi:10.1023/B:CJOP.0000010545.41097.2e
Abstract
The BC_N Inozemtsev model is investigated. 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 commuting operators of conserved quantities also preserve the finite-dimensional spaces. The BC_2 Inozemtsev model is studied in more detail.
6 pages, presented at the 12th Colloquium "Quantum Groups and Integrable Systems", Prague, June 12-14, 2003