Input of the Coulomb law modification to the Lamb shift of the hydrogen atom

TL;DR

This paper calculates the Lamb shift in hydrogen by incorporating Coulomb law modifications due to radiative corrections, using an exact Dirac equation solution, providing a novel approach to understanding atomic energy levels.

Contribution

It introduces a new method based on exact Dirac solutions to account for Coulomb law modifications affecting the Lamb shift in hydrogen.

Findings

Calculated the Lamb shift for hydrogen's lowest energy states.

Demonstrated the impact of Coulomb law modifications on atomic spectra.

Provided a new theoretical framework for radiative corrections in atomic physics.

Abstract

Radiative corrections which remove accidental degeneracy in the spectrum of the relativistic hydrogen atom and lead to the modification of the Coulomb law, are calculated within the novel approach, based on the exact solution of the Dirac equation with the Coulomb potential. The energy spectrum of the hydrogen atom is obtained with account of these corrections and the Lamb shift is calculated for the lowest energy states.