Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case
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.; Zhang, YZ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
|
| 刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
 |
| 出版日期 | 2017 |
| 页码 | 23104 |
| 关键词 | Quantum Integrability (Bethe Ansatz) |
| DOI | http://dx.doi.org/10.1088/1742-5468/aa5a28 |
| 英文摘要 | Bethe ansatz solutions of the two-axis countertwisting Hamiltonian for any (integer and half-integer) J are derived based on the Jordan-Schwinger (differential) boson realization of the SU(2) algebra after desired Euler rotations, where J is the total angular momentum quantum number of the system. It is shown that solutions to the Bethe ansatz equations can be obtained as zeros of the extended Heine-Stieltjes polynomials. Two sets of solutions, with solution number being J + 1 and J respectively when J is an integer and J + 1/2 each when J is a half-integer, are obtained. Properties of the zeros of the related extended Heine-Stieltjes polynomials for half-integer J cases are discussed. It is clearly shown that double degenerate level energies for half-integer J are symmetric with respect to the E = 0 axis. It is also shown that the excitation energies of the 'yrast' and other 'yrare' bands can all be asymptotically given by quadratic functions of J, especially when J is large. |
| 学科主题 | Mechanics ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22140]  |
| 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.; Zhang, YZ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China. |
| 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 for the half-integer J case[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2017:23104. |
| APA | Pan, F,Zhang, YZ,Draayer, JP,Zhang, YZ ,&Zhang, YZ .(2017).Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,23104. |
| MLA | Pan, F,et al."Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2017):23104. |
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。