Cavity Control of a Single-Electron Quantum Cyclotron:\\Measuring the Electron Magnetic Moment

Abstract

Measurements with a one-electron quantum cyclotron determine the electron magnetic moment, given by $g/2=1.00115965218073(28)[0.28\text{ppt}]$, and the fine structure constant, ${\alpha }^{-1}=137.035999084(51)[0.37\text{ppb}]$. Brief announcements of these measurements are supplemented here with a more complete description of the one-electron quantum cyclotron and the new measurement methods, a discussion of the cavity control of the radiation field, a summary of the analysis of the measurements, and a fuller discussion of the uncertainties.

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