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The Darboux Transform for the One-Dimensional Stationary Dirac Equation

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Abstract

Based on the method oftransformation operators, the Darboux transformation operator has been constructed for the one-dimensional stationary Dirac equation. The properties of this operator have been studied. As an application, exactly solvable transparent potentials and potentials with the spectrum of a relativistic harmonic oscillator have been obtained.

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Samsonov, B.F., Pecheritsyn, A.A. The Darboux Transform for the One-Dimensional Stationary Dirac Equation. Russian Physics Journal 43, 938–943 (2000). https://doi.org/10.1023/A:1011331025076

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  • DOI: https://doi.org/10.1023/A:1011331025076

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