Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction

doi:http://dx.doi.org/10.1016/j.aop.2017.03.003

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	Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
	Marquette, I; Zhang, YZ; Hoque, MF; Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
刊名	ANNALS OF PHYSICS
	2017
卷号	380 页码:121-134
关键词	Superintegrable Schrodinger Equation Quadratic Algebras Monopole Interaction Oscillator Algebras Orthogonal Polynomials
DOI	http://dx.doi.org/10.1016/j.aop.2017.03.003
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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22068]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
推荐引用方式 GB/T 7714	Marquette, I,Zhang, YZ,Hoque, MF,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	Marquette, I,Zhang, YZ,Hoque, MF,&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	Marquette, I,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.