Photoabsorption and Photoionizaton of an Atom in a Magnetic Field

  • P. F. O’Mahony
  • M. A. Al-Laithy
  • K. T. Taylor
Part of the Physics of Atoms and Molecules book series (PAMO)


There have been many new developments in the analysis of the quadratic Zeeman effect, both in theory and experiment since the last meeting (Nayfeh and Clark.1New high resolution experiments on hydrogen have revealed a dense series of sharp lines near and above the ionization threshold by Holle et al.,2 and Main et al.3 showing that the lower resolution quasi-Landau modulations of Garton and Tomkins4 are full of structure. A Fourier transform of the absorbtion spectrum also revealed new modulations. Theoretically the large basis set calcultions for hydrogen by Clark and Taylor5 harve been taken higher in energy towards threshold by Wintgen and Freidrich,6 Delande and Gay,7 and Wunner et al.8 There has followed a parallel development in the semi-classical treatment of the problem by Al-Laithy et al.,9 and Wintgen and Freidrich.10 The quadratic Zeeman effect for atoms has proved to be a physically realizable quantum system whose classical Hamiltonian exhibits chaotic motion. The consequences of this will be discussed in detail in Section 3, but initially in Section 2 we will describe a new approach which extends the basis set methods to non-hydrogenic systems O’Mahony and Taylor.11


Periodic Orbit Ionization Threshold Nonhydrogenic Atom Quantum Defect Transition Wave Number 
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  1. 1.
    Nayfeh, M. H. and Clark, C. W., eds. Atomic Excitation and Recombination in External Fields (Gordon and Breach, 1985).Google Scholar
  2. 2.
    Holle, A., Wiebusch, Main, J., Rottke, H., Hager, B. and Welge, K. H., Phys. Rev. Lett. 56, 2594 (1986).ADSCrossRefGoogle Scholar
  3. 3.
    Main, J., Wiebusch, G., Holle, A. and Welge, K. H., Phys. Rev. Lett. 57, 2789 (1986).ADSCrossRefGoogle Scholar
  4. 4.
    Garton, W.R.S. and Tomkins, F. S., Astrophys. J. 158, 839 (1969a).ADSCrossRefGoogle Scholar
  5. 5.
    Clark, C. W. and Taylor, K. T., J. Phys. B 15, 1175 (1982).ADSCrossRefGoogle Scholar
  6. 6.
    Wintgen, D. and Friedrich, H., Phys. Rev. Lett. 57, 571 (1986).ADSCrossRefGoogle Scholar
  7. 7.
    Delande, D. and Gay, J. C., Phys. Rev. Lett. 57 2006 (1986).ADSCrossRefGoogle Scholar
  8. 8.
    Wunner, G., Woelk, U., Zech, I., Zeller, G., Ertl, T., Geyer, F., Schweizer, W. and Ruder, H., Phys. Rev. Lett. 57, 3261 (1986).ADSCrossRefGoogle Scholar
  9. 9.
    Al-Laithy, M. A., O’Mahony, P. F. and Taylor, K. T., J. Phys. B 19 L773 (1986).ADSCrossRefGoogle Scholar
  10. 10.
    Wintgen, D. and Friedrich, H., Phys. Rev. A 36_, 131 (1987).ADSCrossRefGoogle Scholar
  11. 11.
    O’Mahony, P. F. and Taylor, K. T., Phys. Rev. Lett. 57, 2931 (1986).ADSCrossRefGoogle Scholar
  12. 12.
    Seaton, M. J., J. Phys. B 18, 2111 (1985).ADSCrossRefGoogle Scholar
  13. 13.
    Rubbmark, I. R. and Borgstrom, S. A., Physica Scr. 18196 (1978).ADSCrossRefGoogle Scholar
  14. 14.
    Garton, W.R.S. and Tomkins, F. S., Astrophys. J. 158, 1219 (1969b).ADSCrossRefGoogle Scholar
  15. 15.
    Post, B. H., Vassen, W., Hogervost, W., Aymar, M. and Robaux, O., J. Phys. B 18, 187 (1985).ADSCrossRefGoogle Scholar
  16. 16.
    Garton, W.R.S., Connerade, J. P., Baig, M. A., Hormes, J. and Alexa, B., J. Phys. B 16, 389 (1983).ADSCrossRefGoogle Scholar
  17. 17.
    Parkinson, W. H., Reeves, E. M. and Tomkins, F. S., J. Phys. B 9 157 (1976).ADSCrossRefGoogle Scholar
  18. 18.
    Holle, A., Wiebusch, G., Main, J., Welge, K. H., Zeller, G., Wunner, G., Ertl, T. and Ruder, H., Z. Phys. D 5, 279 (1987).ADSCrossRefGoogle Scholar
  19. 19.
    Sumetskii, M. Y., Sov. Phys. J.E.T.P. 56, 959 (1982).Google Scholar
  20. 20.
    Wintgen, D., J. Phys. B 20, L511 (1987).ADSCrossRefGoogle Scholar
  21. 21.
    Al-Laithy, M. A. and Farmer, C, J. Phys. B, accepted for publication (1987).Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • P. F. O’Mahony
    • 1
  • M. A. Al-Laithy
    • 1
  • K. T. Taylor
    • 1
  1. 1.Department of Mathematics, Royal Holloway and Bedford New CollegeUniversity of LondonEghamEngland

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