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题名: Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
作者: Hoque, MF ;  Marquette, I ;  Zhang, YZ
刊名: ANNALS OF PHYSICS
出版日期: 2017
卷号: 380, 页码:121-134
关键词: Superintegrable ;  Schrodinger equation ;  Quadratic algebras ;  Monopole interaction ;  Oscillator algebras ;  Orthogonal polynomials
学科分类: Physics
DOI: http://dx.doi.org/10.1016/j.aop.2017.03.003
通讯作者: Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
文章类型: Article
英文摘要: We construct the integrals of motion for the 5D deformed Kepler system with non-central potentials in su(2) Yang-Coulomb monopole field. We show that these integrals form a higher rank quadratic algebra Q(3; L-so(4), T-su(2)) circle plus so(4), with structure constants involving the Casimir operators of so(4) and su(2) Lie algebras. We realize the quadratic algebra in terms of the deformed oscillator and construct its finite-dimensional unitary representations. This enable us to derive the energy spectrum of the system algebraically. Furthermore we show that the model is multiseparable and allows separation of variables in the hyperspherical and parabolic coordinates. We also show the separability of its 8D dual system (i.e. the 8D singular harmonic oscillator) in the Euler and cylindrical coordinates. (C) 2017 Elsevier Inc. All rights reserved.
类目[WOS]: Physics, Multidisciplinary
关键词[WOS]: SU(2) MONOPOLE ;  HYDROGEN-ATOM ;  OSCILLATOR ;  FIELD
项目资助者: International Postgraduate Research Scholarship ;  Australian Postgraduate Award ;  Australian Research Council through a Discovery Early Career Researcher [DE 130101067] ;  Australian Research Council, Discovery Project [DP 140101492] ;  Institute of Theoretical Physics, Chinese Academy of Sciences
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/22068
Appears in Collections:理论物理所2017年知识产出_期刊论文

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Recommended Citation:
Hoque, MF,Marquette, I,Zhang, YZ. Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction[J]. ANNALS OF PHYSICS,2017,380:121-134.
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