Isospectrality of conventional and new extended potentials,second-order supersymmetry and role of $$
\mathcal{P}\mathcal{T}
$$ symmetry |
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| Authors: | B Bagchi C Quesne and R Roychoudhury |
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| Institution: | 1.Department of Applied Mathematics,University of Calcutta,Kolkata,India;2.Physique Nucléaire Théorique et Physique Mathématique,Université Libre de Bruxelles,Brussels,Belgium;3.Physics and Applied Mathematics Unit,Indian Statistical Institute,Kolkata,India |
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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. $
\mathcal{P}\mathcal{T}
$
\mathcal{P}\mathcal{T}
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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| Keywords: | |
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