Abstract
When atomic spectral lines are observed with sufficient resolution, they appear to have in general a complex structure, each line being in fact a group of nearby components.
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Notes
- 1.
See e.g. exercise 4 and A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, 1950).
- 2.
For all details, see e.g. J.D. Jackson, Classical Electrodynamics, sect. 11.8 (Wiley, 1975).
- 3.
See e.g. J.D. Jackson, Classical Electrodynamics, sect. 5.6 (Wiley, 1975).
- 4.
S.G. Karshenboim and V.D. Ivanov, Hyperfine structure in hydrogen and helium ion, Phys. Lett. B 524, p. 259–264, 2002.
- 5.
H.M. Goldenberg, D. Kleppner, and N.F. Ramsey, Phys. Rev. Lett. 8, 361 (1960).
- 6.
R. Vessot et al., Phys. Rev. Let. 45, 2081 (1980).
- 7.
For the recent developments of atomic clocks, see e.g. W. Itano and N. Ramsey, Accurate measurement of time, Scientific American, p. 46, July 1993.
- 8.
B.J. Bloom, T.L. Nicholson, J.R. Williams, S.L. Campbell, M. Bishof, X. Zhang, W. Zhang, S.L. Bromley, J. Ye, An optical lattice clock with accuracy and stability at the \(10^{-18}\) level, Nature 506, 71-75, 2014, doi:1038/nature12041.
- 9.
This very long lifetime is due to the combination of two facts; the energy difference is very small, and the emission proceeds through a magnetic dipole transition (while the atomic resonance lines correspond to electric dipole transitions).
- 10.
This long lifetime is due to two effects: the energy difference between the two levels is small; and it is a magnetic dipole transition much weaker than the electric dipole transitions. The advantage is that, symmetrically, these radiowaves are absorbed weakly.
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Basdevant, JL. (2016). Addition of Angular Momenta. In: Lectures on Quantum Mechanics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-43479-7_13
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