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题名: Quadratic algebra for superintegrable monopole system in a Taub-NUT space
作者: Hoque, MF ;  Marquette, I ;  Zhang, YZ
刊名: JOURNAL OF MATHEMATICAL PHYSICS
出版日期: 2016
卷号: 57, 期号:9, 页码:92104
学科分类: Physics
DOI: http://dx.doi.org/10.1063/1.4962924
通讯作者: Hoque, MF (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
文章类型: Article
英文摘要: We introduce a Hartmann system in the generalized Taub-NUT space with Abelian monopole interaction. This quantum system includes well known Kaluza-Klein monopole and MIC-Zwanziger monopole as special cases. It is shown that the corresponding Schrodinger equation of the Hamiltonian is separable in both spherical and parabolic coordinates. We obtain the integrals of motion of this superintegrable model and construct the quadratic algebra and Casimir operator. This algebra can be realized in terms of a deformed oscillator algebra and has finite dimensional unitary representations (unirreps) which provide energy spectra of the system. This result coincides with the physical spectra obtained from the separation of variables. Published by AIP Publishing.
类目[WOS]: Physics, Mathematical
关键词[WOS]: KALUZA-KLEIN MONOPOLE ;  DYNAMICAL SYMMETRY ;  MAGNETIC MONOPOLE ;  HIDDEN SYMMETRY ;  KEPLER-PROBLEM ;  QUANTUM-THEORY ;  FIELDS
收录类别: SCI
项目资助者: International Postgraduate Research Scholarship ;  Australian Postgraduate Award ;  Australian Research Council [DE 130101067, DP 140101492]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21543
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Hoque, MF,Marquette, I,Zhang, YZ. Quadratic algebra for superintegrable monopole system in a Taub-NUT space[J]. JOURNAL OF MATHEMATICAL PHYSICS,2016,57(9):92104.
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