The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Industrial de Santander
2007
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| author | U. Percoco |
| author_facet | U. Percoco |
| contents | The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics U. Percoco L.A. Núñez M. Zambrano Física, Astronomía y Matemáticas Geometric Mechanics Geometrical and tensorial methods Formalisms in classical mechanics Accordingly with the general theory of relativity, the moti on of a particle by the only action of inertia and gravity is describ ed by a space-time geodesic. We use the Eisenhart geometric formulation of cla ssical mechanics to establish a correspondence between geodesics and paths i n phase space of the classical bi-dimensional isotropic oscillator. The Killing vectors and its associated constants of motion are presented and compar ed with non- Noetherian motion constant calculated by S. Hojman and coll aborators. 2007 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327028432003 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.25 |
| format | Artículo científico |
| id | redalyc_327028432003 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Universidad Industrial de Santander |
| spellingShingle | The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics U. Percoco Física, Astronomía y Matemáticas Geometric Mechanics Geometrical and tensorial methods Formalisms in classical mechanics The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics U. Percoco L.A. Núñez M. Zambrano Física, Astronomía y Matemáticas Geometric Mechanics Geometrical and tensorial methods Formalisms in classical mechanics Accordingly with the general theory of relativity, the moti on of a particle by the only action of inertia and gravity is describ ed by a space-time geodesic. We use the Eisenhart geometric formulation of cla ssical mechanics to establish a correspondence between geodesics and paths i n phase space of the classical bi-dimensional isotropic oscillator. The Killing vectors and its associated constants of motion are presented and compar ed with non- Noetherian motion constant calculated by S. Hojman and coll aborators. 2007 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327028432003 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.25 |
| title | The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics |
| topic | Física, Astronomía y Matemáticas Geometric Mechanics Geometrical and tensorial methods Formalisms in classical mechanics |
| url | https://www.redalyc.org/articulo.oa?id=327028432003 |