New Measurement of the Rydberg Constant Using Polarization Spectroscopy of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Goldsmith, J. E. M.; Weber, E. W.; Hänsch, T. W.

doi:10.1103/physrevlett.41.1525

Cited by 91 publications

(12 citation statements)

References 8 publications

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“…We disagree slightly outside the estimated errors with the results of Hansch etal. 1 and are in fair agreement with the results of Goldsmith, Weber, and Hansch, 3 which is based on a single transition. We are in good agreement with Petley, Morris, and Shawyer.…”

supporting

confidence: 90%

Crossed-Beam Spectroscopy of Hydrogen: A New Value for the Rydberg Constant

1981

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Hfi/2) with the measure {exp -n' 1 S^i 2 /2 V[q(r)]dr}d^0/p(-*e/ 2 ,^e xp^The high-temperature limit (classical limit) of the above expression gives dii B~f ) eq (q)=Z-1 e~^ while in the low-temperature limit (j3-**>), from the comparison of Eq. (20) with (10) it is obvious that the Feynman process goes over to Nelson's stochastic process for the ground state, provided r is identified with the physical time of evolution of the process. In other words the Feynman formulation of quantum statistical mechanics, upon lowering of the temperature, produces the switch from the ensemble averages of the classical regime to the time averages of the groundstate process arising in the stochastic quantization. From the general point of view, this makes precise the connection between the zero-temperature limit of quantum statistical mechanics and Nelson's formulation of the quantum theory. With respect to the question originally posed in connection with quantum critical phenomena, the comparison of Eq. (19) with Eq. (3) makes it evident that the framework of stochastic quantization allows us to bypass the current notion of dimensional crossover by introducing the dynamical PACS numbers: 06.In a crossed laser-atomic beam experiment the wavelengths of the 2s-3p transitions are measured in H and D to a precision of one part in 10 9 . Our value for the Rydberg constant is Roc =109 737.315 21(11) cm" 1 . The fine-structure splittings of the Sp states in H and D are 3249.8(8) and 3251.7(7) MHz, respectively; the isotope shifts for the 2s-3p 1 / 2 and 2s-3p 3 / 2 transitions are 124260.7(7) and 124262.6(7) MHz, respectively. Our results largely agree with previous, less precise experiments and with theory.

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confidence: 90%

Crossed-Beam Spectroscopy of Hydrogen: A New Value for the Rydberg Constant

1981

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“…The present value is based on the 1979 measurements at Stanford (Hansch et al , 1974;Goldsmith et al , 1979) and those at Yale (Amin et al , 1981(Amin et al , , 1984Lichten, 1985) reevaluated on the basis of the new definition of the meter (including the specifications for the operating conditions of the lasers that provide its realization) and a revision of Erickson s spectroscopic energylevel calculations (Erickson, 1977(Erickson, , 1983) that incorporates the newer values of m~/m, and a. A determination of R carried out at NPL (Petley and Morris, 1979;Petley, Morris, and Shawyer, 1980), giving a result that is in agreement with the Yale and Stanford results was not included in determining the recommended value because it is quoted as having a precision poorer by a factor of 6 than the Yale datum.…”

Section: Electron and Nuclear Magnetic Moment Ratiosmentioning

confidence: 99%

The 1986 adjustment of the fundamental physical constants

1987

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“…Laser frequency stabilization is an essential requirement for various applications including atom cooling [1], high resolution spectroscopy [2], precision measurements [3] etc. A setup for laser cooling and trapping of atoms requires several lasers which are actively frequency stabilized and locked at few line-widths detuned from the peak of atomic absorption.…”

Section: Introductionmentioning

confidence: 99%

A tunable Doppler-free dichroic lock for laser frequency stabilization

et al. 2016

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We propose and demonstrate a laser frequency stabilization scheme which generates a dispersion-like tunable Doppler-free dichroic lock (TDFDL) signal. This signal offers a wide tuning range for lock point (i.e. zero-crossing) without compromising on the slope of the locking signal. The method involves measurement of magnetically induced dichroism in an atomic vapour for a weak probe laser beam in presence of a counter propagating strong pump laser beam. A simple model is presented to explain the basic principles of this method to generate the TDFDL signal. The spectral shift in the locking signal is achieved by tuning the frequency of the pump beam. The TDFDL signal is shown to be useful for locking the frequency of a cooling laser used for magneto-optcal trap (MOT) for $^{87}Rb$ atoms

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New Measurement of the Rydberg Constant Using Polarization Spectroscopy ofHα

Cited by 91 publications

References 8 publications

Crossed-Beam Spectroscopy of Hydrogen: A New Value for the Rydberg Constant

Crossed-Beam Spectroscopy of Hydrogen: A New Value for the Rydberg Constant

The 1986 adjustment of the fundamental physical constants

A tunable Doppler-free dichroic lock for laser frequency stabilization

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