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PT symmetry of a conditionally exactly solvable potential

Anjana Sinha·Geza Levai·Pinaki Roy
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Abstract

A conditionally exactly solvable potential, the supersymmetric partner of the harmonic oscillator is investigated in the PT-symmetric setting. It is shown that a number of properties characterizing shape-invariant and Natanzon-class potentials generated by an imaginary coordinate shift $x-{\rm i}ε$ also hold for this potential outside the Natanzon class.

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Anjana Sinha, Geza Levai, Pinaki Roy. 2004-01-12. PT symmetry of a conditionally exactly solvable potential. https://doi.org/10.1016/j.physleta.2004.01.009

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