English

PT symmetry of a conditionally exactly solvable potential

Quantum Physics 2009-11-10 v1

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

Keywords

Cite

@article{arxiv.quant-ph/0401064,
  title  = {PT symmetry of a conditionally exactly solvable potential},
  author = {Anjana Sinha and Geza Levai and Pinaki Roy},
  journal= {arXiv preprint arXiv:quant-ph/0401064},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T19:42:28.988Z