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Conformal invariance and conserved quantities of general holonomic systems in phase space |
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| Authors: | Xia Li-Li Cai Jian-Le and Li Yuan-Cheng |
| Affiliation: | Department of Physics, Henan Institute of Education, Zhengzhou 450014, China; College of Science, Hangzhou Normal University, Hangzhou 310018, China; 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. |
| Keywords: | phase space conformal invariance conformal factor conserved quantity |
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