Coordinate systems adapted to constants of motion
We present some examples of mechanical systems such that given n constants of motion in involution (where n is the number of degrees of freedom), we can identify a coordinate system in which the Hamilton–Jacobi equation is separable (or R-separable), with the separation constants being the values of...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | México |
| Recursos: | Benemérita Universidad Autónoma de Puebla |
| Repositorio: | Redalyc-BUAP |
| OAI Identifier: | oai:redalyc.org:57028305011 |
| Acesso em linha: | https://www.redalyc.org/articulo.oa?id=57028305011 |
| Access Level: | acceso abierto |
| Palavra-chave: | Física, Astronomía y Matemáticas Hamilton separability Jacobi equation constants of motion Schrödinger equation |
| Resumo: | We present some examples of mechanical systems such that given n constants of motion in involution (where n is the number of degrees of freedom), we can identify a coordinate system in which the Hamilton–Jacobi equation is separable (or R-separable), with the separation constants being the values of the given constants of motion. Analogous results for the Schr ̈ dinger equation are also given. o |
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