【摘要】 研究Hamilton系统的形式不变性即Mei对称性 ,给出其定义和确定方程 .研究Hamilton系统的Mei对称性与Noether对称性、Lie对称性之间的关系 ,寻求系统的守恒量 .给出一个例子说明本文结果的应用 .更多还原

【Abstract】 The Mei symmetry, i.e. the form invariance, of a Hamiltonian system is st udied. The definition and the determining equation of Mei symmetry in the Hamiltonian s ystem 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.更多还原