Conformal invariance and conserved quantity of Hamilton systems
Cai Jian-Le(蔡建乐)a)c)†, Luo Shao-Kai(罗绍凯)b), and Mei Feng-Xiang(梅凤翔)c)
a College of Science, Hangzhou Normal University, Hangzhou 310018, China; b Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; c College of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract This paper studies conformal invariance and conserved quantities of Hamilton system. The definition and the determining equation of conformal invariance for Hamilton system are provided. The relationship between the conformal invariance and the Lie symmetry are discussed, and the necessary and sufficient condition that the conformal invariance would be the Lie symmetry of the system under the infinitesimal one-parameter transformation group is deduced. It gives the conserved quantities of the system and an example for illustration.
Received: 25 December 2007
Revised: 24 January 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10572021 and
10772025) and the Doctoral Program Foundation of Institution of
Higher Education of China (Grant No 20040007022).
Cite this article:
Cai Jian-Le(蔡建乐), Luo Shao-Kai(罗绍凯), and Mei Feng-Xiang(梅凤翔) Conformal invariance and conserved quantity of Hamilton systems 2008 Chin. Phys. B 17 3170
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