Conformal invariance and Hojman conserved quantities of canonical Hamilton systems
Liu Chang(刘畅)a)b), Liu Shi-Xing(刘世兴)a), Mei Feng-Xiang(梅凤翔)b), and Guo Yong-Xin(郭永新)a)†
a College of Physics, Liaoning University, Shenyang 110036, China; b Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract This paper discusses the conformal invariance by infinitesimal transformations of canonical Hamilton systems. The necessary and sufficient conditions of conformal invariance being Lie symmetrical simultaneously by the action of infinitesimal transformations are given. The determining equations of the conformal invariance are gained. Then the Hojman conserved quantities of conformal invariance by special infinitesimal transformations are obtained. Finally an illustrative example is given to verify the results.
Received: 24 December 2007
Revised: 06 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), Liu Shi-Xing(刘世兴), Mei Feng-Xiang(梅凤翔), and Guo Yong-Xin(郭永新) Conformal invariance and Hojman conserved quantities of canonical Hamilton systems 2009 Chin. Phys. B 18 856
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