Asymptotic Bethe ansatz for the Sutherland-Romer model with open boundary conditions
文献类型：期刊论文
| 作者 | Cao, JP ; Yue, RH ; Wang, YP |
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2002 |
| 卷号 | 644期号:3页码:476 |
| 关键词 | MANY-BODY PROBLEM INVERSE-SQUARE EXCHANGE ONE-DIMENSION FRACTIONAL STATISTICS OPERATOR-FORMALISM INTEGRABLE SYSTEMS HEISENBERG CHAIN GROUND-STATE QUANTUM THERMODYNAMICS |
| ISSN号 | 0550-3213 |
| 通讯作者 | Cao, JP: Chinese Acad Sci, Inst Phys, POB 603, Beijing 100080, Peoples R China. |
| 中文摘要 | By constructing the reflection spin-Dunkl operators, the integrable Sutherland-Romer model (SRM) with open boundary condition is established, which describes a one-dimensional, two-component, quantum many-particle system in which like particles interact with a pair potential g(g + 1)/sinh(2)(r), while unlike particles interact with a pair potential -g(g + 1)/cosh(2)(r). By solving the Schrodinger equation and using the properties of the hypergeometric functions and gamma functions, the two-particle scattering matrix and the reflection matrix are obtained in the framework of the asymptotic Bethe ansatz method. The Bethe ansatz equations of the system are obtained. The Hamiltonians of SRM with some other open boundary conditions are expressed explicitly. Our method can be generalized, as a example, to the boundary Calogero-Sutherland model which is also constructed by the reflection spin-Dunkl operators. (C) 2002 Elsevier Science B.V. All rights reserved. |
| 收录类别 | SCI |
| 语种 | 英语 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/34009]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Cao, JP,Yue, RH,Wang, YP. Asymptotic Bethe ansatz for the Sutherland-Romer model with open boundary conditions[J]. NUCLEAR PHYSICS B,2002,644(3):476. |
| APA | Cao, JP,Yue, RH,&Wang, YP.(2002).Asymptotic Bethe ansatz for the Sutherland-Romer model with open boundary conditions.NUCLEAR PHYSICS B,644(3),476. |
| MLA | Cao, JP,et al."Asymptotic Bethe ansatz for the Sutherland-Romer model with open boundary conditions".NUCLEAR PHYSICS B 644.3(2002):476. |
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来源：物理研究所
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