Point symmetries of the Euler--Lagrange equations

Authors

  • G.F. Torres del Castillo

Keywords:

Lagrangians, symmetries, equivalent Lagrangians, constants of motion, Hamiltonian formalism

Abstract

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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Published

2014-01-01

How to Cite

[1]
G. Torres del Castillo, “Point symmetries of the Euler--Lagrange equations”, Rev. Mex. Fís., vol. 60, no. 2 Mar-Apr, pp. 129–0, Jan. 2014.

Issue

Vol. 60 No. 2 Mar-Apr (2014): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.