Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates
ZHENG Shi-Wang1, XIE Jia-Fang2, JIA Li-Qun3
1Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000
2Department of Mechanics, Beijing Institute of Technology, Beijing 100081
3College of Science, Southern Yangtze University, Wuxi 214122
Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates
ZHENG Shi-Wang1;XIE Jia-Fang2;JIA Li-Qun3
1Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000
2Department of Mechanics, Beijing Institute of Technology, Beijing 100081
3College of Science, Southern Yangtze University, Wuxi 214122
Abstract： 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 sufficient 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.
ZHENG Shi-Wang;XIE Jia-Fang;JIA Li-Qun. Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates[J]. 中国物理快报, 2006, 23(11): 2924-2927.
ZHENG Shi-Wang, XIE Jia-Fang, JIA Li-Qun. Symmetry and Conserved Quantity of Tzénoff Equations for Holonomic Systems with Redundant Coordinates. Chin. Phys. Lett., 2006, 23(11): 2924-2927.
2006, Vol. 23 
