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Liu Zhen; Bai Yong-Qiang; Wu Ke; Guo Han-Ying; Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
Noncommutative differential calculus and its application on discrete spaces
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordMultisymplectic Structures Integrable Models Geometry Mechanics
AbstractWe present the noncommutative differential calculus on the function space of the infinite set and construct a homotopy operator to prove the analogue of the Poincare lemma for the difference complex. Then the horizontal and vertical complexes are introduced with the total differential map and vertical exterior derivative. As the application of the differential calculus, we derive the schemes with the conservation of symplecticity and energy for Hamiltonian system and a two-dimensional integral models with infinite sequence of conserved currents. Then an Euler-Lagrange cohomology with symplectic structure-preserving is given in the discrete classical mechanics.
2008
ISSN0253-6102
Volume49Issue:1Pages:37-44
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5595
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLiu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
Recommended Citation
GB/T 7714
Liu Zhen,Bai Yong-Qiang,Wu Ke,et al. Noncommutative differential calculus and its application on discrete spaces[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,49(1):37-44.
APA Liu Zhen,Bai Yong-Qiang,Wu Ke,Guo Han-Ying,&Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China.(2008).Noncommutative differential calculus and its application on discrete spaces.COMMUNICATIONS IN THEORETICAL PHYSICS,49(1),37-44.
MLA Liu Zhen,et al."Noncommutative differential calculus and its application on discrete spaces".COMMUNICATIONS IN THEORETICAL PHYSICS 49.1(2008):37-44.
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