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Mei Symmetry and Lie Symmetry of Relativistic Hamiltonian System
Authors:FANG Jian-Hui YAN Xiang-Hong LI Hong CHEN Pei-Sheng
Affiliation:College of Physical Science and Technology, University of Petroleum, Dongying 257061, China College of Physical Science and Technology, University of Petroleum, Dongying 257061, China College of Physical Science and Technology, University of Petroleum, Dongying 257061, China College of Physical Science and Technology, University of Petroleum, Dongying 257061, China
Abstract:The Mei symmetry and the Lie symmetry of the relativistic Hamiltonian system are studied. The definition and criterion of the Mei symmetry and the Lie symmetry of the relativistic Hamiltonian system are given. The relationship between them is found. The conserved quantities which the Mei symmetry and the Lie symmetry lead to are obtained.An example is given to illustrate the application of the result.
Keywords:relativity   Hamiltonian system   Mei symmetry   Lie symmetry   conserved quantity
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