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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
2002-01-15
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
Volume37Issue:1Pages:1-10
AbstractIn 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.
Keyworddiscrete variation Euler-Lagrange cohomology symplectic structure
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000173520200001
PublisherINT ACADEMIC PUBL
Citation statistics
Cited Times:36[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17038
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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