Abstract This paper discusses in detail the conformal invariance by infinitesimal transformations of a dynamical system of relative motion. The necessary and sufficient conditions of conformal invariance and Lie symmetry are given simultaneously by the action of infinitesimal transformations. Then it obtains the conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.
Received: 27 February 2009
Revised: 09 March 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10372053), the Natural
Science Foundation of Henan
Province, China (Grant Nos 082300410330 and 082300410370).
Cite this article:
Chen Xiang-Wei(陈向炜), Zhao Yong-Hong(赵永红), and Li Yan-Min(李彦敏) Conformal invariance and conserved quantities of dynamical system of relative motion 2009 Chin. Phys. B 18 3139
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