The Darboux Transformation for the One-Dimensional Stationary Dirac Equation with a Scalar Potential |
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| Authors: | Samsonov B. F. Pecheritsyn A. A. |
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| Affiliation: | (1) Tomsk State University, Russia |
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| Abstract: | This paper deals with the Darboux transformation for the Dirac equation with a scalar-type potential. Formulas are derived for the potential difference and for the solutions of the transformed equations. The relationship between the Darboux transforms for Dirac and Schrödinger equations is analyzed. New transparent potentials and a potential with a Coulomb asymptotics are obtained as examples. |
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