A Density Matrix Treatment of Atomic Line Radiation

  • Klaus Bartschat
Part of the Physics of Atoms and Molecules book series (PAMO)

Abstract

Since the early days of quantum mechanics, the theory of atomic line radiation has been of central interest in atomic physics. Percival and Seaton1 presented a general treatment of the subject that has been widely used by both experimentalists and theoreticians. They briefly review the “Oppenheimer-Penney (O.-P.) theory of polarization” and later criticize it for not satisfying the “principle of spectroscopic stability”. This principle requires, for example, that results obtained in a ∣J,M coupling scheme involving the total electronic angular momentum J and its component M j with regard to a specified quantization axis, must be identical to those obtained in an ∣L,M coupling scheme (where L and S are the orbital and spin angular momenta with components M L and M 5 in the limit of vanishing fine-struct ure splitting in the target states. A similar argument can be made for hyperfine-structure effects due to a non-vanishing nuclear spin of the target.

Keywords

Coherence 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.C. Percival and M.J. Seaton, Phil. Trans. Roy. Soc. A251, 113 (1958).Google Scholar
  2. I.C. Percival and M.J. Seaton, Phil. Trans. Roy. Soc. A251, 113 (1958).Google Scholar
  3. K. Bartschat, K. Blum, G.F. Hanne and J. Kessler, J. Phys. B 14, 3761 (1981)ADSCrossRefGoogle Scholar
  4. K. Bartschat and K. Blum, Z. Phys. A 304, 85 (1982)ADSCrossRefGoogle Scholar
  5. K. Blum, Density Matrix Theory and Applications ( Plenum, New York 1981 )Google Scholar
  6. H.W.B. Skinner and E.T.S. Appleyard, Proc. Roy. Soc. A 117, 224 (1927)ADSCrossRefGoogle Scholar
  7. M. Born and E. Wolf, Principles of Optics ( Pergamon, New York 1970 )Google Scholar
  8. See, for example, H.-J. Goerss, R.-P. Nordbeck and K. Bartschat, J. Phys. B 24, 2833 (1991)CrossRefGoogle Scholar
  9. W.G. Penney, Proc. Nat. Acad. Sci. 18, 231 (1932)CrossRefGoogle Scholar
  10. K. Bartschat, Phys. Rep. 180, 1 (1989)ADSCrossRefGoogle Scholar
  11. J. Macek and D.J. Jaecks, Phys. Rev. A 4, 2288 (1971)ADSCrossRefGoogle Scholar
  12. U. Fano and J.H. Macek, Rev. Mod. Phys. 43, 553 (1973)ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press 1996

Authors and Affiliations

  • Klaus Bartschat
    • 1
  1. 1.Department of Physics and AstronomyDrake UniversityDes MoinesUSA

Personalised recommendations