Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]

Details Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357] Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]

2002-09-30

arxiv.org/abs/hep-th/0209262v2

Nucl.Phys. B662 (2003) 554-562

Physics

High Energy Physics

High Energy Physics - Theory

change of title, minor corrections, extended to 10 pages, submitted

Scientific paper

10.1016/S0550-3213(03)00293-1

Witten's supersymmetric quantum mechanics may incorporate potentials with strong singularities after their appropriate regularization. This was proposed by Das and Pernice [Nucl. Phys. B 561 (1999) 357 and arXiv: hep-th/0207112]. We suggest that one of the most natural recipes of this type is generated by an infinitesimal complex shift of coordinates. The necessary regularization is then mediated by a non-Hermitian, PT symmetric intermediate Hamiltonian.

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