PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES

@article{Bagchi2002PTSYMMETRICSW,
  title={PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES},
  author={Bijan Bagchi and Sadek Hossain Mallik and C Quesne},
  journal={Modern Physics Letters A},
  year={2002},
  volume={17},
  pages={1651-1664}
}
The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength Z lies below the critical value where PT symmetry becomes spontaneously broken, we find a hierarchy of SUSY partner potentials, depicting an unbroken SUSY situation and reducing to the family of sec2-like potentials in the Z → 0 limit. For Z above , there is a rich diversity of SUSY hierarchies, including some with PT-symmetry breaking and some with partial PT-symmetry restoration. 

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