Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates  

作　　者：郑世旺 解加芳 贾利群 

机构地区：[1]Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000 [2]Department of Mechanics, Beijing Institute of Technology, Beijing 100081 [3]College of Science, Southern Yangtze University, Wuxi 214122

出　　处：《Chinese Physics Letters》2006年第11期2924-2927,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10372053.

摘　　要：A holonomic system with redundant coordinates can be expressed in Tzénoff equations. We concentrate on the symmetry for these Tzénoff equations under the infinitesimal transformations of groups. The notions are given for both Mei symmetry and Lie symmetry of the Tzénoff equations for holonomic system with redundant coordinates. The determination equations of symmetries for these systems have been obtained and the sumcient and necessary conditions for deriving Lie symmetries from Mei symmetries are proposed. It is shown that Hojman conserved quantities can be found from a special Lie symmetry or a Lie symmetry derived from Mei symmetry for the Tzénoff equations of holonomic systems with redundant coordinates.A holonomic system with redundant coordinates can be expressed in Tzénoff equations. We concentrate on the symmetry for these Tzénoff equations under the infinitesimal transformations of groups. The notions are given for both Mei symmetry and Lie symmetry of the Tzénoff equations for holonomic system with redundant coordinates. The determination equations of symmetries for these systems have been obtained and the sumcient and necessary conditions for deriving Lie symmetries from Mei symmetries are proposed. It is shown that Hojman conserved quantities can be found from a special Lie symmetry or a Lie symmetry derived from Mei symmetry for the Tzénoff equations of holonomic systems with redundant coordinates.

分 类 号：O41[理学—理论物理]