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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/891| Shape invariance through Crum transformation | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| http://dx.doi.org/10.1063/1.2397556 | |
| Mathematical Physics High Energy Physics - Theory | |
| "We show in a rigorous way that Crum’s result regarding the equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux transformations. Furthermore, it can be shown that all neighbouring Darboux-transformed potentials of higher order, uk and uk+1, satisfy the condition of shape invariance provided the original potential u does so. Based on this result, we prove that under the condition of shape invariance, the nth iteration of the original Sturm-Liouville problem defined solely through the shape invariance is equal to the nth Crum transformation." | |
| AIP Publishing | |
| 2006 | |
| Artículo | |
| Inglés | |
| Público en general | |
| Journal of Mathematical Physics 47, 122104 (2006); doi: 10.1063/1.2397556 | |
| CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| JMathPhys47(2006)122104.pdf | 408.89 kB | Adobe PDF | Visualizar/Abrir |