The symmetries of the generalized Calogero model and its discrete version are related to the well-known unitary symmetries of the isotropic oscillator. The correspondence is provided by the Dunkl-operator deformation of the standard quantum momentum.

中文翻译：

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动态和离散Calogero模型的对称代数

广义Calogero模型及其离散版本的对称性与各向同性振荡器的众所周知的unit对称性有关。该对应关系由标准量子动量的Dunkl-operator变形提供。