Asymptotic expansion of the Dirac–Coulomb radial Green’s function
- 1 February 1995
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 36 (2) , 714-724
- https://doi.org/10.1063/1.531150
Abstract
An asymptotic expansion of the Whittaker function Mα,β(x), for β→∞, with α and x fixed, is employed to obtain the asymptotic expansion of the Dirac–Coulomb radial Green’s function Gκ(x2,x1,z) when the magnitude of the angular momentum quantum number κ is large. This result has application in numerical calculations of quantum electrodynamic effects in an external Coulomb field.Keywords
This publication has 4 references indexed in Scilit:
- Self-energy radiative corrections in hydrogen-like systemsAnnals of Physics, 1974
- Numerical evaluation of the 1S12-state radiative level shiftAnnals of Physics, 1974
- Vacuum Polarization in a Strong Coulomb FieldPhysical Review B, 1956
- The asymptotic solution of linear differential equations of the second order for large values of a parameterPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1954