Higher-Order Binding Corrections to the Lamb Shift
This paper reports the status and progress regarding the evaluation of higher order binding corrections to the Lamb shift in systems with low nuclear charge Z. Recently, the evaluation of all binding corrections to the Lamb shift of nP states in hydrogenlike systems at low Z up to the order of α7 (n=2,3,4) has been completed. Using an extrapolation of numerical results, it is possible to obtain an approximate value for higher-order corrections to excited S-states also. Moreover, a calculation is in progress whose ultimate goal is to eliminate any error from low-Z type series expansions or extrapolations of numerical data for high Z. This calculation involves the use of convergence acceleration techniques for certain hypergeometric series and takes advantage of the NIST SGT POWER ONYX and IBM SP/2 supercomputing facilities.
U. D. Jentschura et al., "Higher-Order Binding Corrections to the Lamb Shift," CPEM Digest: Proceedings of the 1998 Conference Precision Electromagnetic Measurements (1998, Washington, DC), pp. 88-89, Institute of Electrical and Electronics Engineers (IEEE), Jul 1998.
The definitive version is available at https://doi.org/10.1109/CPEM.1998.699796
1998 Conference Precision Electromagnetic Measurements (1998: Jul. 6-10, Washington, DC)
Keywords and Phrases
Approximation Theory; Electron Energy Levels; Mathematical Models; Quantum Theory; Supercomputers; Higher-order Binding Corrections; Lamb Shift; Electrodynamics
International Standard Serial Number (ISSN)
Article - Conference proceedings
© 1998 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.