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Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator
Wu, ZB; Zeng, JY; Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
2000
发表期刊PHYSICAL REVIEW A
ISSN1050-2947
卷号62期号:3页码:-
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.
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
关键词Radial Schrodinger-equation Bertrands Theorem Factorization Operators
学科领域Physics
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收录类别SCI
WOS记录号WOS:000089255400036
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被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12914
专题1978-2010年知识产出
通讯作者Wu, ZB , Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
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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):-.
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