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.
U. D. Jentschura, "Extrapolation of the Zα-Expansion and Two-Loop Bound-State Energy Shifts," Physics Letters B, vol. 564, no. 3-4, pp. 225-230, Elsevier, Jul 2003.
The definitive version is available at https://doi.org/10.1016/S0370-2693(03)00562-8
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)
Article - Journal
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