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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Main Author: | |
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Format: | Digital revista |
Language: | English |
Published: |
Sociedad Mexicana de Física
2014
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Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2014000200006 |
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