Unified Symmetry of Hamilton Systems |
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| Authors: | XU Xue-Jun QIN Mao-Chang MEI Feng-Xiang |
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| Affiliation: | 1. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China;2. Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | The definition and the criterion of a unified symmetry for a Hamilton system are presented. The sufficient condition under which the Noether symmetry is a unified symmetry for the system is given. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity deduced from the unified symmetry, is obtained. An example is finally given to illustrate the application of the results. |
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| Keywords: | Hamilton system unified symmetry conserved quantity |
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