Relativistic Coulomb Green's function in $d$-dimensions

Abstract

Using the operator method, the Green's functions of the Dirac and Klein-Gordon equations in the Coulomb potential $-Z\alpha /r$ are derived for the arbitrary space dimensionality $d$. Nonrelativistic and quasiclassical asymptotics of these Green's functions are considered in detail.

9 pages

References in corpus (1)

• Cross section of high-energy photon splitting in the electric fields of heavy atoms