Conformal invariance and a kind of Hojman conserved quantity of the Nambu system |
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| Authors: | Li Yan Fang Jian-Hui and Zhang Ke-Jun |
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| Affiliation: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | Conformal invariance and a kind of Hojman conserved quantity of the Nambu system under infinitesimal transformations are studied. The definition and the determining equation of conformal invariance of the system are presented. The necessary and sufficient condition under which the conformal invariance of the system would have Lie symmetry under infinitesimal transformations is derived. Then, the condition of existence and a kind of Hojman conserved quantity are obtained. Finally, an example is given to illustrate the application of the results. |
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| Keywords: | conformal invariance Nambu system Hojman conserved quantity |
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