We combine a limited number of accurately measured transition frequencies in hydrogen and deuterium, recent quantum electrodynamics (QED) calculations, and, as an essential additional ingredient, a generalized least-squares analysis, to obtain precise and optimal predictions for hydrogen and deuterium transition frequencies. Some of the predicted transition frequencies have relative uncertainties more than an order of magnitude smaller than that of the g factor of the electron, which was previously the most accurate prediction of QED.
U. D. Jentschura et al., "Precise Calculation of Transition Frequencies of Hydrogen and Deuterium Based on a Least-squares Analysis," Physical Review Letters, vol. 95, no. 16, pp. 163003-1-163003-4, Oct 2005.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.95.163003
Keywords and Phrases
Least-squares Analysis; Quantum Electrodynamics (QED) Calculations; Transition Frequencies; Deuterium; Electrodynamics; Frequencies; Least Squares Approximations; Phase Transitions; Quantum Theory; Hydrogen
International Standard Serial Number (ISSN)
Article - Journal