Second order SUSY transformations with `complex energies'

Physics – Quantum Physics

Scientific paper

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11 pages, 2 figures, submitted on 23 August 2002 to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(02)01779-6

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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