Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x 2 y 2 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 ag...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/32197 |
| Acceso en línea: | http://hdl.handle.net/11336/32197 |
| Access Level: | acceso abierto |
| Palabra clave: | ANHARMONIC OSCILLATOR DISCRETE SPECTRUM POINT-GROUP SYMMETRY RAYLEIGH-RITZ METHOD CONNECTED-MOMENTS EXPANSION https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x 2 y 2 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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