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Conformal invariance and Hojman conserved quantities of canonical Hamilton systems |
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| Authors: | Liu Chang Liu Shi-Xing Mei Feng-Xiang and Guo Yong-Xin |
| Institution: | College of Physics, Liaoning University, Shenyang 110036, China; College of Physics, Liaoning University, Shenyang 110036, China;Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China; 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. |
| Keywords: | canonical Hamilton systems infinitesimal transformations conformal invariance Hojman conserved quantities |
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