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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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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DOI: https://doi.org/10.1007/s11040-012-9126-6
Keywords
- Generalized Schrödinger equation
- Energy-dependent potential
- Darboux transformation
- Klein–Gordon equation