Precise calculation of transition frequencies of hydrogen and deuterium based on a least-squares analysis.
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.
Jentschura
Ulrich D
UD
National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8401, USA.
Kotochigova
Svetlana
S
Le Bigot
Eric-Olivier
EO
Mohr
Peter J
PJ
Taylor
Barry N
BN