PT symmetry of a conditionally exactly solvable potential
Anjana Sinha, Geza Levai, Pinaki Roy
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- iε also hold for this potential outside the Natanzon class.
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