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Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
, C. Quesne, R. Roychoudhury
Published in
Volume: 73
Issue: 2
Pages: 337 - 347
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.
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