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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 Guo Yong-Xin |
| Affiliation: | College of Physics, Liaoning University, Shenyang 110036, China; Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | This paper discusses the conformal invariance by infinitesimaltransformations of canonical Hamilton systems. The necessary andsufficient conditions of conformal invariance being Lie symmetricalsimultaneously by the action of infinitesimal transformations aregiven. The determining equations of the conformal invariance aregained. Then the Hojman conserved quantities of conformal invarianceby special infinitesimal transformations are obtained. Finally anillustrative example is given to verify the results. |
| Keywords: | canonical Hamilton systems infinitesimal transformations conformal invariance Hojmanconserved quantities |
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