|
|||||
|
|
Nonlinear Dynamical Symmetries of Some Two-Dimensional Quantum Systems |
|
| Authors: | RUAN Dong SUN Hong-Zhou |
| Affiliation: | 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 quantumsystems are studied in detail, such as the Kepler--Coulomb systemand the isotropic harmonic oscillator in a two-dimensional curvedspace, and the generalized pseudo-oscillators in thetwo-dimensional flat space. Their nonlinear spectrum generatingalgebras are shown to be relevant to polynomial angular momentumalgebras. |
| Keywords: | nonlinear dynamical symmetry polynomial angularmomentum algebra Kepler-Coulomb system harmonic oscillator pseudo-oscillator |
| 本文献已被 维普 等数据库收录！ | |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 | |
| 点击此处可从《理论物理通讯》下载全文 | |