Solutions of the Schrödinger equation given by solutions of the Hamilton–Jacobi equation
We find the form of the potential depending on the coordinates and the time such that a solution, S , of the Hamilton–Jacobi equation yields an exact solution, exp(iS/h) , of the corresponding Schr ̈ odinger equation.
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | México |
| Recursos: | Benemérita Universidad Autónoma de Puebla |
| Repositorio: | Redalyc-BUAP |
| OAI Identifier: | oai:redalyc.org:57048164006 |
| Acesso em linha: | https://www.redalyc.org/articulo.oa?id=57048164006 |
| Access Level: | acceso abierto |
| Palavra-chave: | Física, Astronomía y Matemáticas Hamilton Jacobi equation Schrödinger equation |
| Resumo: | We find the form of the potential depending on the coordinates and the time such that a solution, S , of the Hamilton–Jacobi equation yields an exact solution, exp(iS/h) , of the corresponding Schr ̈ odinger equation. |
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