Skip to main content

Addition of Angular Momenta

  • Chapter
  • First Online:
Lectures on Quantum Mechanics

Part of the book series: Graduate Texts in Physics ((GTP))

  • 4135 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    See e.g. exercise 4 and A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, 1950).

  2. 2.

    For all details, see e.g. J.D. Jackson, Classical Electrodynamics, sect. 11.8 (Wiley, 1975).

  3. 3.

    See e.g. J.D. Jackson, Classical Electrodynamics, sect. 5.6 (Wiley, 1975).

  4. 4.

    S.G. Karshenboim and V.D. Ivanov, Hyperfine structure in hydrogen and helium ion, Phys. Lett. B 524, p. 259–264, 2002.

  5. 5.

    H.M. Goldenberg, D. Kleppner, and N.F. Ramsey, Phys. Rev. Lett. 8, 361 (1960).

  6. 6.

    R. Vessot et al., Phys. Rev. Let. 45, 2081 (1980).

  7. 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. 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. 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. 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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jean-Louis Basdevant .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

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

Download citation

Publish with us

Policies and ethics