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Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle
Guo, HY; Li, YQ; Wu, K; Wang, SK; Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2002
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号37期号:1页码:1-10
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.
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
关键词Calculus
学科领域Physics
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收录类别SCI
WOS记录号WOS:000173520200001
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被引频次:35[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13614
专题理论物理所1978-2010年知识产出
通讯作者Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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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,&Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(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.
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