Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
نویسندگان
چکیده
We develop a systematic approach to construct a new extended class of completely solvable rational potentials. Second-order supersymmetric quantum mechanics dictates the latter to be isospectral to some of the well-studied quantum systems. Our method is illustrated with examples of generalized Pöschl-Teller and Scarf I potentials. We also study the Scarf II for which we find that the PT symmetry facilitates reconciling our approach to the requirement that the rationally-extended potential be singularity free. Short title: Isospectrality of conventional and new extended potentials
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