The reduced Dirac Green function for the Coulomb potential

The radial reduced Dirac Green function for the Coulomb potential is calculated for all bound states. The result is written in a form suitable for numerical calculations. The nonrelativistic limit agrees with the known radial reduced Schrödinger Green function for the Coulomb potential. Also obtaine...

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Bibliographic Details
Published in:Journal of mathematical physics 1984-04, Vol.25 (4), p.1125-1132
Main Author: Hylton, D. J.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Summary:The radial reduced Dirac Green function for the Coulomb potential is calculated for all bound states. The result is written in a form suitable for numerical calculations. The nonrelativistic limit agrees with the known radial reduced Schrödinger Green function for the Coulomb potential. Also obtained are the derivatives with respect to the energy of the relativistic and nonrelativistic radial solutions evaluated at any eigenvalue.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.526255