相对论性Hamilton系统的Mei对称性与守恒量

Mei Symmetry and Conserved Quantity of Relativistic Hamiltonian Systems

研究相对论性Hamilton系统在无限小变换下的Mei对称性与守恒量,给出系统Mei对称性的定义和判据,得到Mei对称性导致守恒量的条件以及守恒量的形式。

The Mei symmetry and conserved quantity of relativistic Hamiltonian system under the infinite simal transformations of groups are studied. Firstly, the definition and criterion of the Mei symmetry of the system are given. Next, the condition under which the Mei symmetry can be led to a conserved quantity as well as the form of conserved quantity are obtained. Finally, an example is given to illustrate the application of the result.