Higher-Order Binding Corrections to the Lamb Shift

Abstract

A new method of calculating the one-loop self-energy contribution to the Lamb shift is presented. The technique relies on treating as perturbations certain terms in the equation for the Dirac Coulomb Green's function, in the absence of which the equation can be solved in terms of a simple integral representation. A new result for the $1S$ Lamb shift is obtained and compared with previous calculations.