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题名: Noncommutative differential calculus and its application on discrete spaces
作者: Liu Zhen ;  Bai Yong-Qiang ;  Wu Ke ;  Guo Han-Ying
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2008
卷号: 49, 期号:1, 页码:37-44
关键词: MULTISYMPLECTIC STRUCTURES ;  INTEGRABLE MODELS ;  GEOMETRY ;  MECHANICS
学科分类: Physics
通讯作者: Liu, Z , Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
部门归属: [Liu, Z] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China; [Liu, Z] Zhejiang Univ Technol, Dept Math, Hangzhou 310023, Peoples R China; [Bai, YQ] Henan Univ, Inst Math, Kaifeng 475001, Peoples R China; [Wu, K] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; [Guo, HY] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: We 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000252640100007
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5595
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:
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.
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