Title

Numerical Evaluation of the Lamb Shift in Hydrogen

Abstract

A reliable and precise theoretical understanding of quantum electrodynamic effects in atoms is of crucial importance for the determination of fundamental constants from precision electromagnetic measurements. The numerical evaluation of self-energy corrections in hydrogen-like ions with small atomic number Z entails severe loss of numerical significance at intermediate stages of the calculation and slow convergence in the sum over intermediate angular momenta. We present an evaluation of the scaled self-energy function F(Zα) at Z=1 with a relative uncertainty of 2 x 10-9.

Department(s)

Physics

Keywords and Phrases

Fundamental Constants; Quantum Electrodynamics; Relativistic And QED Effects

International Standard Serial Number (ISSN)

0018-9456

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

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