Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator
文献类型：期刊论文
| 作者 | Wu ZB(武作兵) ; Ceng JY(曾谨言); Wu ZB(武作兵)
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| 刊名 | Physical Review A
 |
| 出版日期 | 2000 |
| 卷号 | 62期号:3页码:032509 |
| 关键词 | Radial Schrodinger-Equation Bertrands Theorem Factorization Operators |
| ISSN号 | 1050-2947 |
| 通讯作者 | Wu, ZB (reprint author), Peking Univ, Dept Phys, Beijing 100871, Peoples R China. |
| 中文摘要 | 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. |
| 类目[WOS] | Optics ; Physics, Atomic, Molecular & Chemical |
| 研究领域[WOS] | Optics ; Physics |
| 关键词[WOS] | RADIAL SCHRODINGER-EQUATION ; BERTRANDS THEOREM ; FACTORIZATION ; OPERATORS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000089255400036 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33645]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 通讯作者 | Wu ZB(武作兵) |
| 推荐引用方式 GB/T 7714 | Wu ZB,Ceng JY,Wu ZB. Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator[J]. Physical Review A,2000,62(3):032509. |
| APA | 武作兵,曾谨言,&Wu ZB.(2000).Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator.Physical Review A,62(3),032509. |
| MLA | 武作兵,et al."Dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator".Physical Review A 62.3(2000):032509. |
入库方式： OAI收割
来源：力学研究所
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