On General Volume-Preserving Mechanical Systems via Cohomology  

作　　者：ZHOUBin GUOHan-Ying WUKe 

机构地区：[1]InstituteofHighEnergyPhysics,theChineseAcademyofSciences,P.O.Box918-4,Beijing100039,China [2]InstituteofTheoreticalPhysics,theChineseAcademyofSciences,P.O.Box2735,Beijing100080,China [3]DepartmentofMathematics,CapitalNormalUniversity,Beijing100037,China

出　　处：《Communications in Theoretical Physics》2003年第5X期595-600,共6页理论物理通讯（英文版）

摘　　要：We present the general form of equations that generate a volume-preserving flow on a symplectic manifold (M,ω) via the highest Euler-Lagrange cohomology.It is shown that for every volume-preserving flow there are some 2-forms that play a similar role to the Hamiltonian in the Hamilton mechanics and the ordinary canonical equations with Hamiltonian H are included as a special case with a 2-form Hω/(n-1).

关 键 词：机械系统 上同调 耦对映射总管 欧拉-拉格朗日上同调 哈密顿体系 统计物理学 

分 类 号：O414.2[理学—理论物理]