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arxiv: math-ph/0312037 · v1 · pith:Z343AYE4new · submitted 2003-12-12 · 🧮 math-ph · math.MP· nlin.SI

On the Inozemtsev model

classification 🧮 math-ph math.MPnlin.SI
keywords inozemtsevmodelfinite-dimensionalspacesactioncommutingconserveddetail
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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.

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