Abstract

Quantum electrodynamic (QED) effects that shift the binding energies of hydrogenic energy levels have been expressed in terms of a semi-analytic expansion in powers of Zα and ln[(Zα)-2], where Z is the nuclear charge number and α is the fine-structure constant. For many QED effects, numerical data are available in the domain of high Z where the Zα expansion fails. In this Letter, we demonstrate that it is possible, within certain limits of accuracy, to extrapolate the Zα-expansion from the low-Z to the high-Z domain. We also review two-loop self-energy effects and provide an estimate for the problematic nonlogarithmic coefficient B60.

Department(s)

Physics

Keywords and Phrases

Accuracy; Analytic Method; Correlation Analysis; Electricity; Energy; Molecular Dynamics; Quantum Mechanics; Structure Analysis; Asymptotic Problems And Properties; General Properties Of Perturbation Theory; QED Radiative Corrections

International Standard Serial Number (ISSN)

0370-2693

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2003 Elsevier, All rights reserved.

Included in

Physics Commons

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