Second order SUSY transformations with `complex energies'
arXiv:quant-ph/0212026 · doi:10.1016/S0375-9601(02)01779-6
Abstract
Second order supersymmetry transformations which involve a pair of complex conjugate factorization energies and lead to real non-singular potentials are analyzed. The generation of complex potentials with real spectra is also studied. The theory is applied to the free particle, one-soliton well and one-dimensional harmonic oscillator.
11 pages, 2 figures, submitted on 23 August 2002 to Phys. Lett. A