Abstract
Calculation of the electron radial Green's function leads to solution of a system of ordinary differential equations for three functions: F, G, which represent the regular solution of the Dirac equation for r → 0, and W− (the antiWronskian) —a function regular everywhere: W− = 1 for r = 0; W− ≈ 1/r as r →∞. An algorithm is formulated for calculating boundary values of W− as r → 0 and for estimation purposes at asymptotically large values of r.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 34–42, August, 1990.
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Ivanov, L.N., Ivanova, E.P. & Zaridze, G.G. Green's function for the Dirac equation with nonsingular central potential and complex energy. Estimation algorithm. Soviet Physics Journal 33, 653–660 (1990). https://doi.org/10.1007/BF00892299
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DOI: https://doi.org/10.1007/BF00892299