A Set of Lie Symmetrical Conservation Law for Rotational Relativistic Hamiltonian Systems  

作　　者：LUOShao-Kai JIALi-Qun 

机构地区：[1]InstituteofMathematicalMechanicsandMathematicalPhysics,ChangshaUniversity,Changsha410003,China [2]SouthScienceCollege,YangtzeUniversity,Wuxi214063,China

出　　处：《Communications in Theoretical Physics》2003年第3X期265-268,共4页理论物理通讯（英文版）

摘　　要：For the rotational relativistic Hamiltonian system, a new type of the Lie symmetries and conserved quantities are given. On the basis of the theory of invariance of differential equations under infinitesimal transformations, and introducing infinitesimal transformations for generalized coordinates qs and generalized momentums ps, the determining equations of Lie symmetrical transformations of the system are constructed, which only depend on the canonical variables.A set of non-Noether conserved quantities are directly obtained from the Lie symmetries of the system. An example is given to illustrate the application of the results.

关 键 词：哈密顿系统 李对称 非NOETHER守恒量 守恒规律 转动相对论 力学系统 

分 类 号：O316[理学—一般力学与力学基础] O411.1[理学—力学]