Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]
arXiv:hep-th/0209262 · doi:10.1016/S0550-3213(03)00293-1
Abstract
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.
change of title, minor corrections, extended to 10 pages, submitted
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Cited by in corpus (14)
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- Scattering theory using smeared non-Hermitian potentials
- Solvability and PT-symmetry in a double-well model with point interactions
- Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
- Experiments in PT-symmetric quantum mechanics
- Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators
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- 3-body harmonic molecule
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- Singular Isotonic Oscillator, Supersymmetry and Superintegrability
- Planarizable Supersymmetric Quantum Toboggans