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PT-symmetric supersymmetry in a solvable short-range model

B. Bagchi·H. Bila·V. Jakubsky·S. Mallik·C. Quesne·M. Znojil
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Abstract

The simplest purely imaginary and piecewise constant $\cal PT$-symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all the spectrum of its bound states remains real and discrete. We interpret such a model as an initial element of the generalized non-Hermitian Witten's hierarchy of solvable Hamiltonians and construct its first supersymmetric (SUSY) partner in closed form.

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B. Bagchi, H. Bila, V. Jakubsky, S. Mallik, C. Quesne, M. Znojil. 2005-03-03. PT-symmetric supersymmetry in a solvable short-range model. https://doi.org/10.1142/s0217751x0602951x

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