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 invaria...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | México |
| Institución: | Benemérita Universidad Autónoma de Puebla |
| Repositorio: | Redalyc-BUAP |
| OAI Identifier: | oai:redalyc.org:57031047006 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57031047006 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas symmetries Lagrangians constants of motion Hamiltonian formalism equivalent Lagrangians |
| Sumario: | 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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