Point symmetries of the Euler-Lagrange equations

被引:0
|
作者
Torres del Castillo, G. F. [1 ]
机构
[1] Univ Autonoma Puebla, Dept Fis Matemat, Inst Ciencias, Puebla 72570, Pue, Mexico
关键词
Lagrangians; symmetries; equivalent Lagrangians; constants of motion; Hamiltonian formalism;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give an elementary derivation of the equations for the point symmetries of the Euler-Lagrange equations for a Lagrangian of a system with a finite number of degrees of freedom. We show that given a divergence symmetry of a Lagrangian, there exists an equivalent Lagrangian that is strictly invariant under that transformation. The corresponding description in the Hamiltonian formalism is also investigated.
引用
收藏
页码:129 / 135
页数:7
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