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

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

2008-12-08

arxiv.org/abs/0812.1488v2

Pramana J. Phys. 73 (2009) 337-347

Physics

Quantum Physics

13 pages, no figure, some additions to introduction and conclusion, 4 more references; to be published in Special issue of Pra

Scientific paper

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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