On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism

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	On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism
	Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.; Guo, HY; Li, YQ; Wu, K
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2001
卷号	35 期号:6 页码:703-710
关键词	Noncommutative Differential-calculus
ISSN号	0253-6102
英文摘要	We 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.
学科主题	Physics
WOS记录号	WOS:000170059300014
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/12725]
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 , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,Guo, HY,Li, YQ,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 , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,Guo, HY,Li, YQ,&Wu, K.(2001).On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism.COMMUNICATIONS IN THEORETICAL PHYSICS,35(6),703-710.
MLA	Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.,et al."On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism".COMMUNICATIONS IN THEORETICAL PHYSICS 35.6(2001):703-710.