Author:
Wang Ting-Zhi ,Sun Xian-Ting ,Han Yue-Lin , ,
Abstract
Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion have been studied. The definition and the determining equations of conformal invariance for a variable mass holonomic system in relative motion are given. The necessary and sufficient conditions that the system’s conformal invariance be of Lie symmetry are deduced. With the aid of a structure equation which the gauge function should satisfy, the system’s corresponding conserved quantity is obtained. Finally, an illustrative example is given to verify the results.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference18 articles.
1. Noether A E 1918 Math. Phys. KI, Ⅱ 235
2. Djukić D S, Vujanovi B D 1975 Acta Mechanica 23 17
3. Lutzky M 1979 J. Phys. A: Math. Gen. 12 973
4. Hojman S A 1992 J. Phys. A: Math. Gen. 25 L291
5. Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量 (北京: 北京理工大学出版社)]
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献