Lie symmetries and invariants of constrained Hamiltonian systems |
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| Authors: | Liu Rong-Wan and Chen Li-Qun |
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| Affiliation: | Department of Physics, Shaoguan University, Shaoguan 512005, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | According to the theory of the invariance of ordinary differential equations under the infinitesimal transformations of group, the relations between Lie symmetries and invariants of the mechanical system with a singular Lagrangian are investigated in phase space. New dynamical equations of the system are given in canonical form and the determining equations of Lie symmetry transformations are derived. The proposition about the Lie symmetries and invariants are presented. An example is given to illustrate the application of the result in this paper. |
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| Keywords: | analytical mechanics constrained Hamilton system Lie symmetry invariant |
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