PT symmetry of a conditionally exactly solvable potential

Physics – Quantum Physics

Scientific paper

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8 pages, 4 figures, To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2004.01.009

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 $x-{\rm i}\epsilon$ also
hold for this potential outside the Natanzon class.

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