Asymptotic Properties of Self-Energy Coefficients

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow
Eric Olivier Le Bigot
Peter J. Mohr
Paul Indelicato
Gerhard Soff

Abstract

We investigate the asymptotic properties of higher-order binding corrections to the one-loop self-energy of excited states in atomic hydrogen. We evaluate the historically problematic A₆₀ coefficient for all P states with principal quantum numbers n ≤ 7 and D states with n ≤ 8 and find that a satisfactory representation of the n dependence of the coefficients requires a three-parameter fit. For the high-energy contribution to A₆₀, we find exact formulas. The results obtained are relevant for the interpretation of high-precision laser spectroscopic measurements.

Recommended Citation

U. D. Jentschura et al., "Asymptotic Properties of Self-Energy Coefficients," Physical Review Letters, vol. 90, no. 16, pp. 163001/1 - 163001/4, American Physical Society (APS), Apr 2003.

The definitive version is available at https://doi.org/10.1103/PhysRevLett.90.163001

Department(s)

Physics

Keywords and Phrases

Asymptotic Stability; Electrodynamics; Electron Energy Levels; Laser Applications; Numerical Analysis; Spectroscopic Analysis; Quantum Electrodynamics; Self Energy; Ultrahigh Resolution Spectroscopy; Quantum Theory

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2003 American Physical Society (APS), All rights reserved.

Publication Date

01 Apr 2003