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Green's function for the Dirac equation with nonsingular central potential and complex energy. Estimation algorithm

Authors :
L. N. Ivanov
G. G. Zaridze
E. P. Ivanova
Source :
Soviet Physics Journal. 33:653-660
Publication Year :
1990
Publisher :
Springer Science and Business Media LLC, 1990.

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.

Details

ISSN :
15739228 and 00385697
Volume :
33
Database :
OpenAIRE
Journal :
Soviet Physics Journal
Accession number :
edsair.doi...........f04d8f12cb66de65c7d1a03a3dad4147
Full Text :
https://doi.org/10.1007/bf00892299