Generalized Toda mechanics associated with classical Lie algebras and their reductions
文献类型：期刊论文
| 作者 | Zhao, L; Liu, WY; Yang, ZY |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2004-03-15 |
| 卷号 | 41页码:339-348 |
| 关键词 | Lax pair Poisson brackets Toda chains |
| ISSN号 | 0253-6102 |
| 英文摘要 | For any classical Lie algebra g, we construct a family of integrable generalizations of Toda mechanics labeled a pair of ordered integers (m, n,). The universal form of the Lax pair, equations of motion, Hamiltonian as well as Poisson brackets are provided, and explicit examples for g = B-r, C-r, D-r with -m, n less than or equal to 3 are also given. For all m,, n,, it is shown that the dynamics of the (m, n. - 1)- and the (m, - 1, n)-Toda chains are natural reductions of that of the (m,-n)-chain, and for m = n, there is also a family of symmetrically reduced Toda systems, the (m,m)(Sym)-Toda. systems, which are also integrable. In the quantum case, all (m, n)-Toda systems with m > 1 or n > 1. describe the dynamics of standard Toda variables coupled to noncommutative variables. Except for the symmetrically reduced cases, the integrability for all (m, n)-Toda, systems survive after quantization. |
| WOS关键词 | INTEGRABLE SYSTEMS ; QUANTUM-MECHANICS ; BODY PROBLEMS ; LATTICE ; BRANE |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000220526800004 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://119.78.100.186/handle/113462/39623]  |
| 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,Yang, ZY. Generalized Toda mechanics associated with classical Lie algebras and their reductions[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,41:339-348. |
| APA | Zhao, L,Liu, WY,&Yang, ZY.(2004).Generalized Toda mechanics associated with classical Lie algebras and their reductions.COMMUNICATIONS IN THEORETICAL PHYSICS,41,339-348. |
| MLA | Zhao, L,et al."Generalized Toda mechanics associated with classical Lie algebras and their reductions".COMMUNICATIONS IN THEORETICAL PHYSICS 41(2004):339-348. |
入库方式： OAI收割
来源：近代物理研究所
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