Higher Toda mechanics and spectral curves
文献类型：期刊论文
| 作者 | Zhao, L; Liu, WY |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2004-07-15 |
| 卷号 | 42页码:9-18 |
| 关键词 | Toda chain Lax matrix symmetric reduction spectral curves |
| ISSN号 | 0253-6102 |
| 英文摘要 | For each of the Lie algebras gl(n) and (g) over tilde ln, we construct a family of integrable generalizations of the Toda chains characterized by two integers m(+) and m(-). The Lax matrices and the equations of motion are given explicitly, and the integrals of motion can be calculated in terms of the trace of powers of the Lax matrix L. For the case of m(+)=m(-), we find a symmetric reduction for each generalized Toda chain we found, and the solution to the initial value problems of the reduced systems is outlined. We also studied the spectral curves of the periodic (m(+), m(-))-Toda chains, which turns out to be very different for different pairs of m(+) and m(-). Finally we also obtain the nonabelian generalizations of the (m(+), m(-))-Toda chains in an explicit form. |
| WOS关键词 | YANG-MILLS THEORY ; INTEGRABLE SYSTEMS ; MATRIX MODELS ; BODY PROBLEMS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222888900003 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://119.78.100.186/handle/113462/39612]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Zhao, L |
| 作者单位 | NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, L,Liu, WY. Higher Toda mechanics and spectral curves[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,42:9-18. |
| APA | Zhao, L,&Liu, WY.(2004).Higher Toda mechanics and spectral curves.COMMUNICATIONS IN THEORETICAL PHYSICS,42,9-18. |
| MLA | Zhao, L,et al."Higher Toda mechanics and spectral curves".COMMUNICATIONS IN THEORETICAL PHYSICS 42(2004):9-18. |
入库方式： OAI收割
来源：近代物理研究所
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