Conformal invariance and conserved quantities of general holonomic systems in phase space
Xia Li-Li(夏丽莉)a)†, Cai Jian-Le(蔡建乐)b), and Li Yuan-Cheng(李元成)c)
a Department of Physics, Henan Institute of Education, Zhengzhou 450014, China; b College of Science, Hangzhou Normal University, Hangzhou 310018, China; c College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract This paper studies the conformal invariance and conserved quantities of general holonomic systems in phase space. The definition and the determining equation of conformal invariance for general holonomic systems in phase space are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry. The relationship between the conformal invariance and the Lie symmetry is discussed, and the necessary and sufficient condition that the conformal invariance would be the Lie symmetry of the system under the infinitesimal single-parameter transformation group is deduced. The conserved quantities of the system are given. An example is given to illustrate the application of the result.
Received: 01 October 2008
Revised: 20 December 2008
Accepted manuscript online:
Fund: Project supported by the Key
Disciplines' Building Foundation of
Henan Institute of Education, the Natural Science Foundation of Education Bureau of Henan
Province, China (Grant No 2009A140003).
Cite this article:
Xia Li-Li(夏丽莉), Cai Jian-Le(蔡建乐), and Li Yuan-Cheng(李元成) Conformal invariance and conserved quantities of general holonomic systems in phase space 2009 Chin. Phys. B 18 3158
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