Determination of the time-dependence of Omega /sub NBS/ using the quantized Hall resistance

Cage, Marvin E.; Dziuba, Ronald F.; Degrift, Craig T. Van; Yu, Dingyi

doi:10.1109/19.192285

Cited by 38 publications

(19 citation statements)

References 18 publications

(9 reference statements)

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“…His total sixth-order vacuum polarization result to be compared with Eq. (25) is ( a ( 6 ) , -a, acuum polarization, K ) = 2 4 069( 6 ) X l o p L 2 . As for A,( m, /m ,,vacuum polarization), we have analytical expressions for all the diagrams.…”

Section: The Sixth-order Contribution To ( a -A )mentioning

confidence: 99%

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Improved analytic theory of the muon anomalous magnetic moment

Samuel

1991

Phys. Rev. D

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We consider the recent results of Kinoshita in which he improves the accuracy of the theoretical value for the anomalous magnetic moment of the muon. This is needed now that a new, more accurate experiment has been approved at Brookhaven National Laboratory. Kinoshita's results are completely numerical. Here we perform an independent check of his results in fourth and sixth order by analytical means, using expansions in the small mass ratios which occur in the computation. Our result for the fourthorder contribution is a: ' -ai4'=5 904475.1(3)X 10-12. This is to be compared with Kinoshita's result a:4'-a64'=5 904485X 1 0 12. For the sixth-order vacuum-polarization contribution we obtain (a:' -aj6')(vacuum polarization) =24 064.8 ( 6) X lo-''. Kinoshita's result is (a:' -aj6')(vacuum polari~a t i o n ) = 2 4 0 6 9 ( 6 ) X l O -'~. Our result for the total QED contribution is a$ED = 1 165 846 943(28)(27) X lo-''. This agrees with Kinoshita's result u,U"~(K) = 1 165 846 961(44)(28) X lo-''. Our final result for the muon anomaly is ~h~' " '~ =116591901(77)X10-11. This should be compared with Kinoshita's result ahheorY = 116 591 919( 176) X lo-'' and the experimental value ayPt = 1 165 923(8.5) XOur value makes use of a recent computation of the hadronic contribution, in which the error may be overly optimistic.

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Section: The Sixth-order Contribution To ( a -A )mentioning

confidence: 99%

“…2(a). This The value of the fine-structure constant used is the latest contribution can be expressed analytically [7] to all orvalue determined from the quantized Hall effect [6] ders in k =me/m, << 1 as follows: a -' = 137.0 359 979(32).…”

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confidence: 99%

Improved analytic theory of the muon anomalous magnetic moment

Samuel

1991

Phys. Rev. D

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“…This has stood as the best measurement of the fine structure constant since 1987. The second most accurate published value of , at 24 ppb, comes from condensed matter experiments [3]. This is worse by a factor of 6, limiting the scientific value of cross-field comparisons.…”

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confidence: 98%

Contrast Interferometry using Bose-Einstein Condensates to Measureh/mandα

et al. 2002

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The kinetic energy of an atom recoiling due to absorption of a photon was measured as a frequency, using an interferometric technique called "contrast interferometry." Optical standing wave pulses were used to create a symmetric three-path interferometer with a Bose-Einstein condensate. Its recoil phase, measurable with a single shot, varies quadratically with additional recoils and is insensitive to errors from vibrations and ac Stark shifts. We have measured the photon recoil frequency of sodium to 7 ppm precision, using a simple realization of this scheme. Plausible extensions should yield sufficient precision to attain a ppb-level determination of h/m and the fine structure constant alpha.

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“…The values of ct\ and a 2 are quoted directly by Cage et al, 6 and #3 can be obtained from the recently measured value 7 of /*/m"=3.9560344(l6)xl0-7 m 2 s _1 using Eq. (6).…”

Section: H N /H Y = (A 3 /A0 2 -(8b)mentioning

confidence: 99%

“…Currently the most accurate complete set of such asmaintained measurements are those recently carried out at the National Institute of Standards and Technology (NIST). These results, summarized by Cage et al, 6 will be denoted by the subscript NIST. We also note the existence of an elegant and important result, a recent measurement involving neutrons by Kriiger, Nistler, and Weirauch.…”

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confidence: 99%

New test of quantum mechanics: Is Planck’s constant unique?

1991

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We discuss the possibility that different realms of physics are described by distinct quantization constants. From the consistency of existing data, we infer limits on the differences between hypothetically distinct quantization constants for different elementary particles. Since the existence of multiple Planck constants implies violations of space-time symmetries, these limits may be viewed as precise tests of fundamental conservation laws, including the conservation of linear momentum and energy.

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Determination of the time-dependence of Omega /sub NBS/ using the quantized Hall resistance

Cited by 38 publications

References 18 publications

Improved analytic theory of the muon anomalous magnetic moment

Improved analytic theory of the muon anomalous magnetic moment

Contrast Interferometry using Bose-Einstein Condensates to Measureh/mandα

New test of quantum mechanics: Is Planck’s constant unique?

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