Precise calculation of transition frequencies of hydrogen and deuterium based 
on a least-squares analysis

Jentschura, Ulrich David; Kotochigova, Svetlana; Le Bigot, Eric-Olivier; Mohr, Peter J.; Taylor, Barry N.

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Precise calculation of transition frequencies of hydrogen and deuterium based on a least-squares analysis

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Jentschura, Ulrich David
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Zitation

Jentschura, U. D., Kotochigova, S., Le Bigot, E.-O., Mohr, P. J., & Taylor, B. N. (2005). Precise calculation of transition frequencies of hydrogen and deuterium based on a least-squares analysis. Physical Review Letters, 95(16): 163003, pp. 1-4.

Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0011-8804-1

Zusammenfassung

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.