Point symmetries of the Euler-Lagrange equations

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.

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Bibliographic Details
Main Author: Torres del Castillo,G.F.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2014
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2014000200006
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