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, $\exp ({\rm i} S/\hbar)$, of the corresponding Schrödinger equation.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | México |
| Institución: | UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO |
| Repositorio: | Revista Mexicana de Física |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs2.rmf.smf.mx:article/389 |
| Acceso en línea: | https://rmf.smf.mx/ojs/index.php/rmf/article/view/389 |
| Access Level: | acceso abierto |
| Palabra clave: | Schrödinger equation Hamilton--Jacobi equation |
| Sumario: | 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, $\exp ({\rm i} S/\hbar)$, of the corresponding Schrödinger equation. |
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