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Nonlinear Dynamical Symmetries of Some Two-Dimensional Quantum Systems
作者姓名:RUANDong  SUNHong-Zhou
作者单位:[1]DepartmentofPhysics,TsinghuaUniversity,Beijing100084,China [2]CenterofTheoreticalNuclearPhysics,NationalLaboratoryofHeavyIonAccelerator,Lanzhou730000,China
摘    要:In this paper nonlinear dynamical symmetries of three quantum systems are studied in detail, such as the Kepler-Coulomb system and the isotropic harmonic oscillator in a two-dimensional curved space, and the generalized pseudo-oscillators in the two-dimensional fiat space. Their nonlinear spectrum generating algebras are shown to be relevant to polynomial angular momentum algebras.

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