2005/10/11 by Ulrich D. Jentschura, U. D. Jentschura, Svetlana Kotochigova +7
Decision Sciences · Mathematics · Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic physics #Deuterium #Electron #Hydrogen #Least-squares function approximation #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Radioactive Decay and Measurement Techniques #Scientific Measurement and Uncertainty Evaluation #Statistics #physics.atom-ph
paper · pdf · doi:10.1103/physrevlett.95.163003
published as Phys.Rev.Lett. 95 (2005) 163003 · 4 pages, RevTeX
openalex publication_date 2005/10/11 · arxiv created 2006/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.