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题名: On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism
作者: Guo, HY ;  Li, YQ ;  Wu, K
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2001
卷号: 35, 期号:6, 页码:703-710
关键词: NONCOMMUTATIVE DIFFERENTIAL-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
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.
收录类别: SCI
WOS记录号: WOS:000170059300014
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12725
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. On symplectic and multisymplectic structures and their discrete versions in Lagrangian formalism[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35(6):703-710.
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