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Nonlinear Dynamical Symmetries of Some Two-Dimensional Quantum Systems |
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| Authors: | RUAN Dong SUN Hong-Zhou |
| Institution: | 1. Department of Physics, Tsinghua University, Beijing 100084, China ;2. Key Laboratory of Quantum Information and Measurements of Ministry of Education, Tsinghua University, Beijing 100084, China ;3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China ;4. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
| Abstract: | 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 flat space. Their nonlinear spectrum generating algebras are shown to be relevant to polynomial angular momentum algebras. |
| Keywords: | nonlinear dynamical symmetry polynomial angular momentum algebra Kepler-Coulomb system harmonic oscillator pseudo-oscillator |
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