| dc.contributor | American Institute of Physics | |
| dc.creator | José Orlando Organista | |
| dc.creator | Marek Nowakowski | |
| dc.creator | Rosu Barbus, Haret-Codratian | |
| dc.date | 2018-03-21T23:42:27Z | |
| dc.date | 2018-03-21T23:42:27Z | |
| dc.date | 2006 | |
| dc.date.accessioned | 2023-07-17T22:04:12Z | |
| dc.date.available | 2023-07-17T22:04:12Z | |
| dc.identifier | Journal of Mathematical Physics 47, 122104 (2006); doi: 10.1063/1.2397556 | |
| dc.identifier | http://hdl.handle.net/11627/3489 | |
| dc.identifier | http://dx.doi.org/10.1063/1.2397556 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7543866 | |
| dc.description | "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." | |
| dc.format | application/pdf | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.rights | Acceso Abierto | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| dc.title | Shape invariance through Crum transformation | |
| dc.type | article | |
