Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
arXiv:0812.1488 · doi:10.1007/s12043-009-0126-4
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.
13 pages, no figure, some additions to introduction and conclusion, 4 more references; to be published in Special issue of Pramana - J. Phys