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题名: Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator
作者: Wu, ZB ;  Zeng, JY
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
学科分类: Physics
通讯作者: Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
部门归属: Peking Univ, Dept Phys, Beijing 100871, Peoples R China; Acad Sinica, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000089255400036
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12914
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Wu, ZB,Zeng, JY. Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator[J]. PHYSICAL REVIEW A,2000,62(3):-.
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