Abstract

Abstract The inverse problem of constructing a spherically symmetric potential from its scattering data is solved for the Dirac equation, following the approach of Marchenko for the Schrodinger equation. This theory is well suited for the application to actual scattering processes, since the scattering phase shift and the bound-state data enter in a quite direct and natural manner into the equations. Furthermore, the point x = 0, where the potentials become singular in general, causes no difficulties in this theory.

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