Techniques in analytic lamb shift calculations

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2261-2276
Number of pages16
JournalModern Physics Letters A
Volume20
Issue number30
DOIs
Publication statusPublished - Sep 28 2005

Fingerprint

Electrodynamics
quantum electrodynamics
Bound States
electron mass
shift
Energy
Renormalization
Numerical Algorithms
Electromagnetic Fields
Fermions
Regularization
electromagnetic fields
Excitation
fermions
Charge
Electron
Unit
energy
evaluation
Prediction

Keywords

  • Atomic physics
  • Bound states
  • Quantum electrodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Nuclear and High Energy Physics

Cite this

Techniques in analytic lamb shift calculations. / Jentschura, U.

In: Modern Physics Letters A, Vol. 20, No. 30, 28.09.2005, p. 2261-2276.

Research output: Contribution to journalArticle

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