Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
文献类型：期刊论文
| 作者 | Marquette, I; Zhang, YZ ; Hoque, MF; Marquette, I (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
|
| 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 |
| 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 |
| 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. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
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。