Quadratic algebra for superintegrable monopole system in a Taub-NUT space
文献类型：期刊论文
| 作者 | Hoque, MF; Marquette, I; Zhang, YZ ; Hoque, MF (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
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| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
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| 出版日期 | 2016 |
| 卷号 | 57期号:9页码:92104 |
| DOI | http://dx.doi.org/10.1063/1.4962924 |
| 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. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21543]  |
| 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 | Hoque, MF (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 for superintegrable monopole system in a Taub-NUT space[J]. JOURNAL OF MATHEMATICAL PHYSICS,2016,57(9):92104. |
| APA | Hoque, MF,Marquette, I,Zhang, YZ,&Hoque, MF .(2016).Quadratic algebra for superintegrable monopole system in a Taub-NUT space.JOURNAL OF MATHEMATICAL PHYSICS,57(9),92104. |
| MLA | Hoque, MF,et al."Quadratic algebra for superintegrable monopole system in a Taub-NUT space".JOURNAL OF MATHEMATICAL PHYSICS 57.9(2016):92104. |
入库方式： OAI收割
来源：理论物理研究所
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