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

页码：129 / 135

页数：7

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