Symmetry theories for canonicalized equations of constrained Hamiltonian system
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In this paper, we give a new method to investigate Noether and Lie symmetries of constrained Hamiltonian system. Firstly, we study the canonicalization of constrained Hamiltonian system. Through variable transformation, the old variables are replaced by the new variables, and at this point, the motion equations for the constrained Hamiltonian system have been canonicalized. Then, we follow the usual symmetry method for the constrained mechanical system, and the Noether and Lie symmetries of constrained Hamiltonian system are given. Finally, three examples are presented to illustrate the application of the results.
KeywordsConstrained Hamiltonian system Canonicalization Noether symmetry Lie symmetry
This project was supported by the National Natural Science Foundation of China (Grant Nos. 11472247, 11272287) and by the Zhejiang Province Key Science and Technology Innovation Team Project (2013TD18).
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Conflict of interest
Both authors declare that they have no conflict of interest.
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