物理学报2011，Vol.60Issue(6)：1-5,5.
广义Hamilton系统的Mei对称性导致的Mei守恒量
Mei symmetry leading to Mei conserved quantity of generalized Hamiltonian system
摘要
Abstract
For a generalized Hamiltonian system, Mei conserved quantity derived by using Mei symmetry is studied. First, the definition, the criterion and the determining equations of Mei symmetry of generalized Hamiltonian system are given under infinitesimal transformations of group. Second, the conditions and the forms for existence of Mei conserved quantity are directly obtained by using the Mei symmetry of the system. Then, the theorem for existence of Mei conserved quantity of generalized Hamiltonian system with additional terms is given. Finally, a new three-dimensional generalized Hamiltonian system and the plane motion of the three vortices of three-body problem are studied by using the method presented in the paper.关键词
广义Hamilton系统/Mei对称性/Mei守恒量/三体问题Key words
generalized Hamiltonian system/ Mei symmetry/ Mei conserved quantity/ three-body problem引用本文复制引用
姜文安,罗绍凯..广义Hamilton系统的Mei对称性导致的Mei守恒量[J].物理学报,2011,60(6):1-5,5.基金项目
国家自然科学基金(批准号:10372053)资助的课题. （批准号:10372053）
