KMS Of Academy of mathematics and systems sciences, CAS
| Classification of solutions to the reflection equation for two-component systems | |
| Liu, CX; Ju, GX; Wang, SK; Wu, K | |
| 1999-05-14 | |
| Source Publication | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| ISSN | 0305-4470 |
| Volume | 32Issue:19Pages:3505-3523 |
| Abstract | The symmetries, especially those related to the R-transformation, of the reflection equation (RE) for two-component systems are analysed. The classification of solutions to the RE for eight-, six- and seven-vertex-type R-matrices is given. All solutions can be obtained from those corresponding to the standard R-matrices by K-transformation. For the free-fermion models, the boundary matrices have property tr K+ (0) = 0, and the free-fermion-type R-matrix with the same symmetry as that of a Baxter type corresponds to the same form of a K-matrix for the Baxter type. We present the Hamiltonians for the open spin systems connected with our solutions. In particular, the boundary Hamiltonian of seven-vertex models is obtained with a generalization to the Sklyanin formalism. |
| Language | 英语 |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000080541800007 |
| Publisher | IOP PUBLISHING LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/14253 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ju, GX |
| Affiliation | 1.Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China 2.CCAST, World Lab, Beijing 100080, Peoples R China 3.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China 4.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Liu, CX,Ju, GX,Wang, SK,et al. Classification of solutions to the reflection equation for two-component systems[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1999,32(19):3505-3523. |
| APA | Liu, CX,Ju, GX,Wang, SK,&Wu, K.(1999).Classification of solutions to the reflection equation for two-component systems.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,32(19),3505-3523. |
| MLA | Liu, CX,et al."Classification of solutions to the reflection equation for two-component systems".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 32.19(1999):3505-3523. |
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