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arXiv math/0205274math.QAmath-phmath.CAmath.MPnlin.SI
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Inozemtsev模型的拟精确解

Quasi-exact solvability of Inozemtsev models

Kouichi Takemura

摘要:

引入了在BC_N Inozemtsev模型的Hamilton作用下不变的有限维空间,证明了高阶交换算子也保持有限维空间.阐明了BC_N Inozemtsev模型的有限维空间与BC_N Ruijsenaars模型的θ型不变空间之间的关系。研究了BC_N Inozemtsev模型的退化性及其不变空间的对应性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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