Exact solution of the two-axis countertwisting Hamiltonian
文献类型：期刊论文
| 作者 | Pan, F; Zhang, YZ; Draayer, JP; Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia. |
| 刊名 | ANNALS OF PHYSICS
 |
| 出版日期 | 2017 |
| 卷号 | 376页码:182-193 |
| 关键词 | Exactly Solvable Models Two-axis Countertwisting Interactions Bethe Ansatz |
| DOI | http://dx.doi.org/10.1016/j.aop.2016.11.019 |
| 英文摘要 | It is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra. Algebraic Bethe ansatz is used to get the exact solution with the help of the SU(1,1) algebraic structure, from which a set of Bethe ansatz equations of the problem is derived. It is shown that solutions of the Bethe ansatz equations can be obtained as zeros of the Heine Stieltjes polynomials. The total number of the four sets of the zeros equals exactly 2J + 1 for a given integer angular momentum quantum number J, which proves the completeness of the solutions. It is also shown that double degeneracy in level energies may also occur in the J -> infinity limit for integer J case except a unique non-degenerate level with zero excitation energy. (C) 2016 Elsevier Inc. All rights reserved. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22167]  |
| 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 | Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia. |
| 推荐引用方式 GB/T 7714 | Pan, F,Zhang, YZ,Draayer, JP,et al. Exact solution of the two-axis countertwisting Hamiltonian[J]. ANNALS OF PHYSICS,2017,376:182-193. |
| APA | Pan, F,Zhang, YZ,Draayer, JP,&Zhang, YZ .(2017).Exact solution of the two-axis countertwisting Hamiltonian.ANNALS OF PHYSICS,376,182-193. |
| MLA | Pan, F,et al."Exact solution of the two-axis countertwisting Hamiltonian".ANNALS OF PHYSICS 376(2017):182-193. |
入库方式： OAI收割
来源：理论物理研究所
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