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
来源：
REVISTA MEXICANA DE FISICA | 2014年 / 60卷 / 02期
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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