Symmetry of Hamiltonian and conserved quantity for a system of generalized classical mechanics |
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Authors: | Zhang Yi |
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Institution: | College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China |
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Abstract: | This paper focuses on a new symmetry of Hamiltonian and its conserved quantity for a system of generalized classical mechanics. The differential equations of motion of the system are established. The definition and the criterion of the symmetry of Hamiltonian of the system are given. A conserved quantity directly derived from the symmetry of Hamiltonian of the generalized classical mechanical system is given. Since a Hamilton system is a special case of the generalized classical mechanics, the results above are equally applicable to the Hamilton system. The results of the paper are the generalization of a theorem known for the existing nonsingular equivalent Lagrangian. Finally, two examples are given to illustrate the application of the results. |
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Keywords: | symmetry of Hamiltonian generalized classical mechanics conserved quantity |
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