Cavity Shifts of Measured Electron Magnetic Moments

Gabrielse, Gerald; Tan, Joseph N.; Brown, Lowell S.

doi:10.1142/9789814503273_0009

Cited by 7 publications

(12 citation statements)

References 13 publications

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“…(10). Insofar as the two frequencies are essentially proportional to the magnetic field, any effective fluctuations in the magnetic field would average the two frequencies in much the same way.…”

Section: B the Weighted Mean Methods To Extract Frequencies From Linementioning

confidence: 99%

“…(3) Stored electron plasmas [8][9][10] and the damping of a single electron in this cavity [2] are used together to determine cavity frequency shifts and eliminate cavity shifts as a major uncertainty [2].…”

Section: B New Measurements Of the Electron Momentmentioning

confidence: 99%

“…Because ν s and ν c differ by only a partper-thousand, measuring ν a and ν c to a precision of 1 part in 10 10 gives g/2 to 1 part in 10 13 . Although we cannot measure accurately with one electron in free space because the electron would not stay in one place long enough, two features of determining g/2 are already apparent in Eq.…”

Section: A Electron In a Magnetic Fieldmentioning

confidence: 99%

“…A nonzero noise function average would shift both lines by proportionally the same amount; this shift would then cancel in the calculation of g/2 [Eq. (10)]. …”

Section: Invariance Of the Mean Frequencymentioning

confidence: 99%

“…V C 5. The interaction may be approximated as that of two coupled oscillators with the resulting electron frequency shift and damping rate given by [10] …”

Section: Single-mode Approximationmentioning

confidence: 99%

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Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

2011

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Measurements with a one-electron quantum cyclotron determine the electron magnetic moment, given by g/2 = 1.001 159 652 180 73(28)[0.28ppt], and the fine structure constant, α −1 = 137.035 999 084 (51)Announcements of these measurements [Phys. Rev. Lett. 97, 030801 (2006); 100, 120801 (2008)] are supplemented here with a more complete description of the one-electron quantum cyclotron and the 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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Section: B the Weighted Mean Methods To Extract Frequencies From Linementioning

confidence: 99%

Section: B New Measurements Of the Electron Momentmentioning

confidence: 99%

Section: A Electron In a Magnetic Fieldmentioning

confidence: 99%

“…A nonzero noise function average would shift both lines by proportionally the same amount; this shift would then cancel in the calculation of g/2 [Eq. (10)]. …”

Section: Invariance Of the Mean Frequencymentioning

confidence: 99%

“…V C 5. The interaction may be approximated as that of two coupled oscillators with the resulting electron frequency shift and damping rate given by [10] …”

Section: Single-mode Approximationmentioning

confidence: 99%

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Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

2011

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Precise Matter and Antimatter Tests of the Standard Model with $${\mathrm{{e}}}^{-}, {\mathrm{{e}}}^{+}, {\mathrm{{p}}}, \,\overline{\mathrm{{p}}}$$ and $$\overline{\mathrm{{H}}}$$

Gabrielse

Hoogerheide

Dorr

et al. 2014

Springer Tracts in Modern Physics

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The fine structure constant

Kinoshita

1996

Rep. Prog. Phys.

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The fine structure constant α is one of the fundamental constants of nature characterizing the whole range of physics including elementary particle, atomic, mesoscopic and macroscopic systems. This diversity is reflected in a large number of independent and competitive physical methods available for measuring α. Included in this review are high precision determinations of α based on the measurements of the neutron de Broglie wavelength, the quantum Hall effect, the ac Josephson effect, the electron anomalous magnetic moment, and some simple QED bound systems. Also discussed are new promising approaches based on atom beam interference and single electron tunnelling. Possible implications to physics that might arise from the comparison of α's obtained by these methods are explored.

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Cavity Shifts of Measured Electron Magnetic Moments

Cited by 7 publications

References 13 publications

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

Precise Matter and Antimatter Tests of the Standard Model with $${\mathrm{{e}}}^{-}, {\mathrm{{e}}}^{+}, {\mathrm{{p}}}, \,\overline{\mathrm{{p}}}$$ and $$\overline{\mathrm{{H}}}$$

The fine structure constant

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