Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement wi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/85279 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85279 |
| Access Level: | acceso abierto |
| Palabra clave: | Física Anharmonic oscillator connected-moments expansion discrete spectrum point-group symmetry Rayleigh-Ritz method |
| Sumario: | We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x<sup>2</sup> y<sup>2</sup> by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it |
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