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The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength Z lies below the critical value Z 0 (c) 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 sec 2-like potentials in the Z → 0 limit. For Z above Z 0 (c), there is a rich diversity of SUSY hierarchies, including some with PT-symmetry breaking and some with partial PT-symmetry restoration.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES