Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system
Hamilton系统的Mei对称性、Noether对称性和Lie对称性

The Mei symmetry, i.e. the form invariance, of a Hamiltonian system is studied. The definition and the determining equation of Mei symmetry in the Hamiltonian system are given. The relations among the Mei symmetry, the Noether symmetry and the Lie symmetry are studied, and the conserved quantities of Hamiltonian system are obtained. An example is given to illustrate the application of the result.