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arXiv · 0812.1488

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

B. Bagchi·C. Quesne·R. Roychoudhury
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Abstract

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. $\cal PT$ symmetry may facilitate reconciling our approach to the requirement that the rationally-extended potentials be singularity free. Some examples are shown.

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B. Bagchi, C. Quesne, R. Roychoudhury. 2008-12-08. Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry. https://doi.org/10.1007/s12043-009-0126-4

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