Mei Symmetries and Lie Symmetries for Nonholonomic Controllable Mechanical Systems with Relativistic Rotational Variable Mass  

作　　者：XIA Li-Li LI Yuan-Cheng WANG Xian-Jun 

机构地区：[1]Department of Physics, Henan Institute of Education, Zhengzhou 450014, China [2]College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

出　　处：《Communications in Theoretical Physics》2009年第6期1073-1077,共5页理论物理通讯（英文版）

基　　金：Supported by the Key Disciplines' Building Foundation of Henan Institute of Education;the Natural Science Foundation of Education Bureau of Henan Province of China under Grant No. 2009A14003

摘　　要：The Mei symmetries and the Lie symmetries for nonholonomic controllable mechanical systems with relativistic rotational variable mass are studied. The differential equations of motion of the systems are established. The definition and criterion of the Mei symmetries and the Lie symmetries of the system are studied respectively. The necessary and sufficient condition under which the Mei symmetry is Lie symmetry is given. The condition under which the Mei symmetries can be led to a new kind of conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the results.

关 键 词：relativity rotation nonholonomic controllable mechanical system variable mass conserved quantity 

分 类 号：O316[理学—一般力学与力学基础] O313.3[理学—力学]