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Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry

par Bagchi, Bijan;Quesne, Christiane ;Roychoudhury, Rajkumar
Référence Pramana, 73, 2, page (337-347)
Publication Publié, 2009-08

Article révisé par les pairs

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Résumé :

We develop a systematic approach to construct novel completely solvable rational potentials. Second-order supersymmetric quantum mechanics dictates the latter to be isospectral to some well-studied quantum systems. PT symmetry may facilitate reconciling our approach to the requirement that the rationally extended potentials be singularity free. Some examples are shown. © Indian Academy of Sciences.