ITP OpenIR  > 2017年知识产出
Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
Hoque, MF; Marquette, I; Zhang, YZ; Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
2017
发表期刊ANNALS OF PHYSICS
卷号380页码:121-134
文章类型Article
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.
关键词Superintegrable Schrodinger Equation Quadratic Algebras Monopole Interaction Oscillator Algebras Orthogonal Polynomials
学科领域Physics
资助者International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; 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, 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 ; International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; 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, 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
DOIhttp://dx.doi.org/10.1016/j.aop.2017.03.003
关键词[WOS]SU(2) MONOPOLE ; HYDROGEN-ATOM ; OSCILLATOR ; FIELD
语种英语
资助者International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; 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, 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 ; International Postgraduate Research Scholarship ; International Postgraduate Research Scholarship ; 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, 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
WOS类目Physics, Multidisciplinary
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22068
专题2017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
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.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Quadratic algebra st(445KB) 开放获取--请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Hoque, MF]的文章
[Marquette, I]的文章
[Zhang, YZ]的文章
百度学术
百度学术中相似的文章
[Hoque, MF]的文章
[Marquette, I]的文章
[Zhang, YZ]的文章
必应学术
必应学术中相似的文章
[Hoque, MF]的文章
[Marquette, I]的文章
[Zhang, YZ]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。