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题名: Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle
作者: Guo, HY ;  Li, YQ ;  Wu, K ;  Wang, SK
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2002
卷号: 37, 期号:1, 页码:1-10
关键词: CALCULUS
学科分类: Physics
通讯作者: Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000173520200001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13614
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
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.
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