On variations in discrete mechanics and field theory
文献类型：期刊论文
| 作者 | Guo, HY; Wu, K; Guo, HY , China Ctr Adv Sci & Technol, POB 8730, Beijing 100080, Peoples R China. |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2003 |
| 卷号 | 44期号:12页码:5978-6004 |
| 关键词 | Euler-lagrange Cohomology Noncommutative Differential-calculus Multisymplectic Structures Integrators Principles Formalism Versions |
| ISSN号 | 0022-2488 |
| 英文摘要 | In this paper, we propose the difference variational approach with variable step-length for discrete mechanics and field theory. Based upon the Hamilton's principle for the vertical variations and the horizontal variations, we get the equation of motion and the relevant relations between the equation of motion and conservation law of the energy/energy-momentum tensor for continuous as well as for the discrete systems, respectively. For those discrete cases, these relations determine the variable step-length of the differences. In addition, by taking the double operation of vertical exterior differential on action, we show that there should exist the Euler-Lagrange cohomology for both continuous and variable step-length difference cases in general. This indicates that the necessary and sufficient condition for symplectic/multisymplectic structure preserving properties is the relevant Euler-Lagrange one-form being closed in each case. Our approach can be applied to both the Lagrangian formalism and the Hamiltonian formalism, via discrete Legendre transformation, for the difference discrete mechanics and field theory. (C) 2003 American Institute of Physics. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000186662300027 |
| 公开日期 | 2012-08-30 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/14166]  |
| 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 | Guo, HY , China Ctr Adv Sci & Technol, POB 8730, Beijing 100080, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Guo, HY,Wu, K,Guo, HY , China Ctr Adv Sci & Technol, POB 8730, Beijing 100080, Peoples R China.. On variations in discrete mechanics and field theory[J]. JOURNAL OF MATHEMATICAL PHYSICS,2003,44(12):5978-6004. |
| APA | Guo, HY,Wu, K,&Guo, HY , China Ctr Adv Sci & Technol, POB 8730, Beijing 100080, Peoples R China..(2003).On variations in discrete mechanics and field theory.JOURNAL OF MATHEMATICAL PHYSICS,44(12),5978-6004. |
| MLA | Guo, HY,et al."On variations in discrete mechanics and field theory".JOURNAL OF MATHEMATICAL PHYSICS 44.12(2003):5978-6004. |
入库方式： OAI收割
来源：理论物理研究所
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