The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system |
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| Authors: | Fang Jian-Hui Liao Yong-Pan and Peng Yong |
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| Affiliation: | College of Physics Science and Technology, University of Petroleum, Dongying 257061, China; Department of Physics, Hexi College, Zhangye 734000, China |
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| Abstract: | In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result. |
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| Keywords: | Hamiltonian system Lie symmetry non-Noether conserved quantity |
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