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Shape invariance through Crum transformation

dc.contributor.authorOrganista, José Orlando
dc.contributor.authorNowakowski, Marek
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.editorAmerican Institute of Physics
dc.date.accessioned2018-03-21T23:42:27Z
dc.date.available2018-03-21T23:42:27Z
dc.date.issued2006
dc.identifier.citationJournal of Mathematical Physics 47, 122104 (2006); doi: 10.1063/1.2397556
dc.identifier.urihttp://hdl.handle.net/11627/3489
dc.description.abstract"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.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleShape invariance through Crum transformation
dc.typearticle
dc.identifier.doihttp://dx.doi.org/10.1063/1.2397556
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional