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Chin. Phys. B, 2009, Vol. 18(2): 395-399    DOI: 10.1088/1674-1056/18/2/003
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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)
a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; b College 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.
Keywords:  non-conservative Lagrange systems      point transformations      conformal invariance      conserved quantities  
Received:  16 December 2007      Revised:  30 June 2008      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.30.Jr (Partial differential equations)  
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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