Hydrogen atom in the instantaneous van der Waals potential: Pitchfork bifurcation and ro-vibrational structure of the energy spectrum
We present a semiclassical study of the energy spectrum of a Rydberg hydrogen atom in the instantaneous van der Waals potential. The results are in good agreement with those obtained by the first-order quantum perturbation theory. Both the semiclassical and the quantum calculations show that vibrati...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc698cb750603269e81d41 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc698cb750603269e81d41 |
| Access Level: | acceso abierto |
| Palabra clave: | Instantaneous van der Waals potential Pitchfork bifurcation |
| Sumario: | We present a semiclassical study of the energy spectrum of a Rydberg hydrogen atom in the instantaneous van der Waals potential. The results are in good agreement with those obtained by the first-order quantum perturbation theory. Both the semiclassical and the quantum calculations show that vibrational energy levels disappear when the magnetic quantum number |m| increases. This fact is well explained in the framework of classical dynamics of this system for which the pitchfork bifurcation takes place at critical value |m|/n =√5/7. © 2001 Elsevier Science B.V. |
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