Point symmetries of the Euler–Lagrange equations
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Redalyc
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedad Mexicana de Física A.C.
2014
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| _version_ | 1876451012953243648 |
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| author | G.F. Torres del Castillo |
| author_facet | G.F. Torres del Castillo |
| contents | Point symmetries of the Euler–Lagrange equations G.F. Torres del Castillo Física, Astronomía y Matemáticas symmetries Lagrangians constants of motion Hamiltonian formalism equivalent Lagrangians 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. 2014 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57031047006 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.60 |
| format | Artículo científico |
| id | redalyc_57031047006 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Point symmetries of the Euler–Lagrange equations G.F. Torres del Castillo Física, Astronomía y Matemáticas symmetries Lagrangians constants of motion Hamiltonian formalism equivalent Lagrangians Point symmetries of the Euler–Lagrange equations G.F. Torres del Castillo Física, Astronomía y Matemáticas symmetries Lagrangians constants of motion Hamiltonian formalism equivalent Lagrangians 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. 2014 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57031047006 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.60 |
| title | Point symmetries of the Euler–Lagrange equations |
| topic | Física, Astronomía y Matemáticas symmetries Lagrangians constants of motion Hamiltonian formalism equivalent Lagrangians |
| url | https://www.redalyc.org/articulo.oa?id=57031047006 |