中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator

文献类型:期刊论文

作者Wu, ZB; Zeng, JY; Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
刊名PHYSICAL REVIEW A
出版日期2000
卷号62期号:3页码:-
关键词Radial Schrodinger-equation Bertrands Theorem Factorization Operators
ISSN号1050-2947
英文摘要It is shown that for the screened Coulomb potential and isotropic harmonic oscillator, there exists an infinite number of closed orbits for suitable angular momentum values. At the aphelion (perihelion) points of classical orbits, an extended Runge-Lenz vector for the screened Coulomb potential and an extended quadrupole tensor for the screened isotropic harmonic oscillator are still conserved. For the screened two-dimensional (2D) Coulomb potential and isotropic harmonic oscillator, the dynamical symmetries SO3 and SU(2) are still preserved at the aphelion (perihelion) points of classical orbits, respectively. For the screened 3D Coulomb potential, the dynamical symmetry SO4 is also preserved at the aphelion (perihelion) points of classical orbits. But for the screened 3D isotropic harmonic oscillator, the dynamical symmetry SU(2) is only preserved at the aphelion (perihelion) points of classical orbits in the eigencoordinate system. For the screened Coulomb potential and isotropic harmonic oscillator, only the energy (but not angular momentum) raising and lowering operators can be constructed from a factorization of the radial Schrodinger equation.
学科主题Physics
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WOS记录号WOS:000089255400036
公开日期2012-08-29
源URL[http://ir.itp.ac.cn/handle/311006/12914]  
专题理论物理研究所_理论物理所1978-2010年知识产出
通讯作者Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
推荐引用方式
GB/T 7714
Wu, ZB,Zeng, JY,Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.. Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator[J]. PHYSICAL REVIEW A,2000,62(3):-.
APA Wu, ZB,Zeng, JY,&Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China..(2000).Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator.PHYSICAL REVIEW A,62(3),-.
MLA Wu, ZB,et al."Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator".PHYSICAL REVIEW A 62.3(2000):-.

入库方式: OAI收割

来源:理论物理研究所

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