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Second order SUSY transformations with `complex energies'

David J. Fernandez C., Rodrigo Munoz, Arturo Ramos

quant-pharXiv:quant-ph/0212026

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.

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