Comment on “Supersymmetry and singular potentials” by Das and Pernice [Nucl. Phys. B 561 (1999) 357] Original Research Article

Das and Pernice [Nucl. Phys. B 561 (1999) 357 and ] proposed that the Wittenʹs supersymmetric quantum mechanics may incorporate potentials with strong singularities whenever one succeeds in their appropriate regularization. We conjecture that one of the most natural recipes of this type results from a detour to a non-Hermitian (usually called PT symmetric) intermediate Hamiltonian (with the real and discrete spectrum) obtained by an infinitesimal complex shift of the coordinate axis.