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Guo, HY; Li, YQ; Wu, K; Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordNoncommutative Differential-calculus
AbstractWe introduce the Euler-Lagrange cohomology to study the symplectic and multisymplectic structures and their preserving properties in finite and infinite dimensional Lagrangian systems respectively We also explore their cei tain difference discrete counterparts in the relevant regularly discretized finite and infinite dimensional Lagrangian systems by means of the difference discrete variational principle with the difference being regarded as an entire geometric object and the noncommutative differential calculus on regular lattice. In order to show that in all these cases the symplectic and multisymplectic preserving properties do not necessarily depend on the relevant Euler-Lagrange equations, the Euler-Lagrange cohomological concepts and content in the configuration space are employed.
2001
ISSN0253-6102
Volume35Issue:6Pages:703-710
Subject AreaPhysics
Indexed BySCI
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Cited Times:27[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12725
Collection理论物理所科研产出_SCI论文
Corresponding AuthorGuo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Guo, HY,Li, YQ,Wu, K,et al. On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35(6):703-710.
APA Guo, HY,Li, YQ,Wu, K,&Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2001).On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism.COMMUNICATIONS IN THEORETICAL PHYSICS,35(6),703-710.
MLA Guo, HY,et al."On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism".COMMUNICATIONS IN THEORETICAL PHYSICS 35.6(2001):703-710.
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