Numerical Evaluation of the Lamb Shift in Hydrogen
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.
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
Keywords and Phrases
Fundamental Constants; Quantum Electrodynamics; Relativistic And QED Effects
International Standard Serial Number (ISSN)
Article - Journal
© 1999 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.