Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle
文献类型：期刊论文
| 作者 | Guo, HY; Li, YQ; Wu, K; Wang, SK |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2002-01-15 |
| 卷号 | 37期号:1页码:1-10 |
| 关键词 | discrete variation Euler-Lagrange cohomology symplectic structure |
| ISSN号 | 0253-6102 |
| 英文摘要 | In this first paper of a series, we study the difference discrete variational principle in the framework of multi-parameter differential approach by regarding the forward difference as an entire geometric object in view of noncommutative differential geometry. Regarding the difference as an entire geometric object, the difference discrete version of Legendre transformation can be introduced. By virtue of this variational principle, we can discretely deal with the variation problems in both the Lagrangian and Hamiltonian formalisms to get difference discrete Euler-Lagrange equations and canonical ones for the difference discrete versions of the classical mechanics and classical field theory. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000173520200001 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17037]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, HY |
| 作者单位 | 1.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, HY,Li, YQ,Wu, K,et al. Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2002,37(1):1-10. |
| APA | Guo, HY,Li, YQ,Wu, K,&Wang, SK.(2002).Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle.COMMUNICATIONS IN THEORETICAL PHYSICS,37(1),1-10. |
| MLA | Guo, HY,et al."Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle".COMMUNICATIONS IN THEORETICAL PHYSICS 37.1(2002):1-10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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