2008

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

Bagchi, B., Quesne, C., Roychoudhury, R.

Understand

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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