paper

PT symmetry of a conditionally exactly solvable potential

arXiv:quant-ph/0401064 · doi:10.1016/j.physleta.2004.01.009

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 also hold for this potential outside the Natanzon class.

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