Spectroscopy of atomic hydrogen. How is the Rydberg constant determined?

Abstract

This article presents a review of the most recent theoretical and experimental results in hydrogen. We particularly emphasize the methods used to deduce the Rydberg constant $R_{\infty }$ and we consider the prospects for future improvements in the precision of $R_{\infty }$.

References in corpus (16)

• Theory of Light Hydrogenlike Atoms
• New Limits to the Drift of Fundamental Constants from Laboratory Measurements
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• On the rms-radius of the proton
• A new determination of the fine structure constant based on Bloch oscillations of ultracold atoms in a vertical optical lattic
• Calculation of the Electron Self Energy for Low Nuclear Charge
• Higher-order binding corrections to the Lamb shift of 2P states
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Two-Loop Bethe Logarithms
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• The Lamb Shift of Excited S-Levels in Hydrogen and Deuterium Atoms
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Lamb Shift of 3P and 4P states and the determination of $\alpha$
• Electron Self Energy for Higher Excited S Levels
• One More Analytic Result for ${\alpha }^2(Z\alpha {)}^{5}m$ Correction to the Lamb Shift

Cited by in corpus (19)

• Improved Measurement of the Hydrogen 1S - 2S Transition Frequency
• Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen
• Spectroscopy as a test of Coulomb's law - A probe of the hidden sector
• Constraints on extra dimensions from precision molecular spectroscopy
• QED effects in molecules: test on rotational quantum states of H${}_2$
• Theory of the n=2 levels in muonic deuterium
• Precision spectroscopy of helium in a magic wavelength optical dipole trap
• Optical frequency measurement of the 1S-3S two-photon transition in hydrogen
• Direct laser cooling of calcium monohydride molecules
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• High-precision spectroscopy of the forbidden 2 3S1 - 2 1P1 transition in quantum degenerate metastable helium
• Radiative and collisional processes in translationally cold samples of hydrogen Rydberg atoms studied in an electrostatic trap
• Low phase noise diode laser oscillator for 1S-2S spectroscopy in atomic hydrogen
• Feshbach resonances in Cesium at Ultra-low Static Magnetic Fields
• Pre-Born-Oppenheimer Dirac-Coulomb-Breit computations for two-body systems
• Magneto-Optical Trapping of a Metal Hydride Molecule
• Physics beyond the Standard Model from hydrogen spectroscopy
• Observational Manifestations of Primordial Objects in the Early Universe Through the Hydrogen Subordinate Lines
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition