Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations
Liu Chang(刘畅)a)†, Mei Feng-Xiang(梅凤翔)a), and Guo Yong-Xin(郭永新)b)
aDepartment of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; bCollege of Physics, Liaoning University, Shenyang 110036, China
Abstract This paper studies the conformal invariance by infinitesimal point transformations of non-conservative Lagrange systems. It gives the necessary and sufficient conditions of conformal invariance by the action of infinitesimal point transformations being Lie symmetric simultaneously. Then the Noether conserved quantities of conformal invariance are obtained. Finally an illustrative example is given to verify the results.
Received: 16 December 2007
Revised: 30 June 2008
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project
supported by the National Natural Science Foundation of China (Grant
Nos 10472040, 10572021 and 10772025) and the Outstanding Young
Talents Training Found of Liaoning Province of China (Grant No
3040005).
Cite this article:
Liu Chang(刘畅), Mei Feng-Xiang(梅凤翔), and Guo Yong-Xin(郭永新) Conformal invariance and conserved quantities of non-conservative Lagrange systems by point transformations 2009 Chin. Phys. B 18 395
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