Nonlinear Dynamical Symmetries of Some Two-Dimensional Quantum Systems |
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作者姓名: | RUANDong SUNHong-Zhou |
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作者单位: | [1]DepartmentofPhysics,TsinghuaUniversity,Beijing100084,China [2]CenterofTheoreticalNuclearPhysics,NationalLaboratoryofHeavyIonAccelerator,Lanzhou730000,China |
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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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关 键 词: | 非线性动力学对称 多项式角动量代数 开普勒-库仑系统 谐波振荡器 伪振荡器 群论 |
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