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arxiv: quant-ph/0212026 · v1 · submitted 2002-12-04 · 🪐 quant-ph · hep-th

Second order SUSY transformations with `complex energies'

classification 🪐 quant-ph hep-th
keywords complexenergiesorderpotentialsrealsecondtransformationsanalyzed
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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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