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.
Recommended Citation
U. D. Jentschura et al., "Numerical Evaluation of the Lamb Shift in Hydrogen," IEEE Transactions on Instrumentation and Measurement, vol. 48, no. 2, pp. 186 - 188, Institute of Electrical and Electronics Engineers (IEEE), Apr 1999.
The definitive version is available at https://doi.org/10.1109/19.769559
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.
Publication Date
01 Apr 1999
