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研究奇异系统Hamilton正则方程的形式不变性即Mei对称性,给出其定义、确定方程、限制方程和附加限制方程.研究奇异系统Hamilton正则方程的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.给出一个例子说明结果的应用.
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关键词:
- 奇异系统 /
- Hamilton正则方程 /
- 约束 /
- 对称性 /
- 守恒量
The Mei symmetry,i.e.the form invariance,of the Hamiltonian canonical equations in a singular system is studied.The definition,the determining equations,the restriction equations and the additional restriction equations of Mei symmetry of the system are given.The relations among the Mei symmetry,the Noether symmetry and the Lie symmetry are studied,and the conserved quantities of the singular system are obtained.An example is given to illustrate the application of the result.-
Keywords:
- singular system /
- Hamiltonian canonical equations /
- constraint /
- symmetry /
- conserved quantity
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