Knowledge Management System of Institute of Theoretical Physics, CAS
| Liu Zhen; Bai Yong-Qiang; Wu Ke; Guo Han-Ying; Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China | |
| Noncommutative differential calculus and its application on discrete spaces | |
| Source Publication | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| Keyword | Multisymplectic Structures Integrable Models Geometry Mechanics |
| Abstract | 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. |
| 2008 | |
| ISSN | 0253-6102 |
| Volume | 49Issue:1Pages:37-44 |
| Subject Area | Physics |
| Indexed By | SCI |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/5595 |
| Collection | SCI期刊论文 |
| Corresponding Author | Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China |
| Recommended Citation 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. |
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| Noncommutative Diffe（219KB） | 开放获取 | License | Application Full Text | |||
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