Techniques in Analytic Lamb Shift Calculations

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow

Abstract

Quantum electrodynamics has been the first theory to emerge from the ideas of regularization and renormalization, and the coupling of the fermions to the virtual excitations of the electromagnetic field. Today, bound-state quantum electrodynamics provides us with accurate theoretical predictions for the transition energies relevant to simple atomic systems, and steady theoretical progress relies on advances in calculational techniques, as well as numerical algorithms. In this brief review, we discuss one particular aspect connected with the recent progress: the evaluation of relativistic corrections to the one-loop bound-state self-energy in a hydrogenlike ion of low nuclear charge number, for excited non-S states, up to the order of α(Zα) ⁶ in units of the electron mass. A few details of calculations formerly reported in the literature are discussed, and results for 6F, 7F, 6G and 7G states are given.

Recommended Citation

U. D. Jentschura, "Techniques in Analytic Lamb Shift Calculations," Modern Physics Letters A, vol. 20, no. 30, pp. 2261 - 2276, World Scientific Publishing Co., Sep 2005.

The definitive version is available at https://doi.org/10.1142/S0217732305018256

Department(s)

Physics

Keywords and Phrases

Atomic Physics; Bound States; Quantum Electrodynamics

International Standard Serial Number (ISSN)

0217-7323

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2005 World Scientific Publishing Co., All rights reserved.

Publication Date

01 Sep 2005