Form invariance, Noether symmetry and Lie symmetry of Hamiltonian systems in phase space |
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| Authors: | Jing-Li Fu Li-Qun Chen |
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| Affiliation: | a Department of Physics of Shangqiu Teachers College, Shangqiu 476000, PR China;b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China |
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| Abstract: | For the holonomic and non-holonomic Hamiltonian systems in phase space, the definitions and criterions of the form invariance of both Hamilton and generalized Hamilton canonical equations are given. The relations among the form invariance, Noether symmetry and Lie symmetry are studied. Two examples are given to illustrate these results. |
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| Keywords: | Form invariance Noether symmetry Lie symmetry Hamiltonian system Phase space |
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