ITP OpenIR  > SCI期刊论文
Hoque, MF; Marquette, I; Zhang, YZ; Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
Source PublicationANNALS OF PHYSICS
Language英语
KeywordSuperintegrable Schrodinger Equation Quadratic Algebras Monopole Interaction Oscillator Algebras Orthogonal Polynomials
AbstractWe 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.
2017
Volume380Pages:121-134
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1016/j.aop.2017.03.003
Funding OrganizationInternational Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; Australian Postgraduate Award ; Australian Postgraduate Award ; Australian Postgraduate Award ; Australian Postgraduate Award ; Australian Research Council through a Discovery Early Career Researcher [DE 130101067] ; Australian Research Council through a Discovery Early Career Researcher [DE 130101067] ; Australian Research Council through a Discovery Early Career Researcher [DE 130101067] ; Australian Research Council through a Discovery Early Career Researcher [DE 130101067] ; Australian Research Council, Discovery Project [DP 140101492] ; Australian Research Council, Discovery Project [DP 140101492] ; Australian Research Council, Discovery Project [DP 140101492] ; Australian Research Council, Discovery Project [DP 140101492] ; Institute of Theoretical Physics, Chinese Academy of Sciences ; Institute of Theoretical Physics, Chinese Academy of Sciences ; Institute of Theoretical Physics, Chinese Academy of Sciences ; Institute of Theoretical Physics, Chinese Academy of Sciences
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22068
CollectionSCI期刊论文
Corresponding AuthorMarquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
Recommended Citation
GB/T 7714
Hoque, MF,Marquette, I,Zhang, YZ,et al. 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.
APA Hoque, MF,Marquette, I,Zhang, YZ,&Marquette, I .(2017).Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction.ANNALS OF PHYSICS,380,121-134.
MLA Hoque, MF,et al."Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction".ANNALS OF PHYSICS 380(2017):121-134.
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