Chapter 13 Extensive Calculations of High-Precision Energy Levels in Hydrogen and Deuterium Through a Least-Squares Adjustment
Recent high-precision energy level calculations in atomic hydrogen and deuterium are presented. Numerical values are readily available on the web. The procedure found can provide new predictions in a relatively simple way, by relying on results obtained through the latest adjustment of the fundamental constants. The calculations are meant to yield optimal predictions. Some of the predicted transition frequencies have an uncertainty more than an order of magnitude smaller than that of the Landé factor g of the electron, which was previously the most accurate prediction of quantum electrodynamics (QED). These predictions were obtained by combining accurately measured transitions in hydrogen and deuterium with recent QED calculations. A mostly non-technical overview of the relevant adjustment procedures is given in this paper.
E. O. Le Bigot et al., "Chapter 13 Extensive Calculations of High-Precision Energy Levels in Hydrogen and Deuterium Through a Least-Squares Adjustment," Advances in Quantum Chemistry, vol. 53, pp. 253-271, Elsevier, Jan 2008.
The definitive version is available at https://doi.org/10.1016/S0065-3276(07)53013-3
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