Author:
Han Yue-Lin ,Sun Xian-Ting ,Zhang Yao-Yu ,Jia Li-Qun , ,
Abstract
For a holonomic system, the conformal invariance and conserved quantity of Mei symmetry for Appell equations are studied. Firstly, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, we define Mei symmetry and conformal invariance of differential equations of motion for holonomic system, and the determining equation of Mei symmetry and conformal invariance for holonomic system are given. Then, taking advantage of a structure equation that gauge function satisfies, the system corresponding Mei conserved quantity is derived. Finally, an example is given to illustrate the application of the result.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference35 articles.
1. Lutzky M 1979 J. Phys. A Math. Gen. 12 973
2. Noether A E 1918 Nachr. Akad. Math. 2 235
3. 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)]
4. Galiullin A S, Gafarov G G, Malaishka R P, Khwan A M 1997 Analytical Dynamics of Helmholtz, Birkhoff and Nambu Systems (Moscow: UFN) (in Russian)
5. Zhang Y, Xue Y 2009 Chin. Q. Mech. 30 216 (in Chinese) [张毅, 薛纭2009力学季刊 30 216]
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