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Darboux Transformations for Energy-Dependent Potentials and the Klein–Gordon Equation

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Abstract

We construct explicit Darboux transformations for a generalized Schrödinger-type equation with energy-dependent potential, a special case of which is the stationary Klein–Gordon equation. Our results complement and generalize former findings (Lin et al., Phys Lett A 362:212–214, 2007).

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Authors and Affiliations

  1. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN, 46408, USA

    Axel Schulze-Halberg

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  1. Axel Schulze-Halberg
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Correspondence to Axel Schulze-Halberg.

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Schulze-Halberg, A. Darboux Transformations for Energy-Dependent Potentials and the Klein–Gordon Equation. Math Phys Anal Geom 16, 179–193 (2013). https://doi.org/10.1007/s11040-012-9126-6

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