Noncommutative differential calculus and its application on discrete spaces
文献类型：期刊论文
| 作者 | Liu Zhen; Bai Yong-Qiang; Wu Ke; Guo Han-Ying; Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2008 |
| 卷号 | 49期号:1页码:37-44 |
| 关键词 | Multisymplectic Structures Integrable Models Geometry Mechanics |
| ISSN号 | 0253-6102 |
| 英文摘要 | We present the noncommutative differential calculus on the function space of the infinite set and construct a homotopy operator to prove the analogue of the Poincare lemma for the difference complex. Then the horizontal and vertical complexes are introduced with the total differential map and vertical exterior derivative. As the application of the differential calculus, we derive the schemes with the conservation of symplecticity and energy for Hamiltonian system and a two-dimensional integral models with infinite sequence of conserved currents. Then an Euler-Lagrange cohomology with symplectic structure-preserving is given in the discrete classical mechanics. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000252640100007 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5595]  |
| 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 | Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Zhen,Bai Yong-Qiang,Wu Ke,et al. Noncommutative differential calculus and its application on discrete spaces[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,49(1):37-44. |
| APA | Liu Zhen,Bai Yong-Qiang,Wu Ke,Guo Han-Ying,&Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China.(2008).Noncommutative differential calculus and its application on discrete spaces.COMMUNICATIONS IN THEORETICAL PHYSICS,49(1),37-44. |
| MLA | Liu Zhen,et al."Noncommutative differential calculus and its application on discrete spaces".COMMUNICATIONS IN THEORETICAL PHYSICS 49.1(2008):37-44. |
入库方式： OAI收割
来源：理论物理研究所
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