Double Rydberg Atoms

  • Jan M. Rost
Part of the Few-Body Systems book series (FEWBODY, volume 10)


Since the first attempts to calculate the helium ground state in the early days of Bohr-Sommerfeld quantization two-electron atoms have posed a series of unexpected challenges to theoretical physics. Despite the seemingly simple problem of three charged particles with known interactions it took more than half a century after quantum mechanics was established to describe spectra of two-electron atoms satisfactorily. The evolution of the understanding of correlated two-electron dynamics and its importance for doubly excited resonance states is sketched in this overview by contrasting a forgotten idea from the old days with recent theoretical concepts and new challenges.


Periodic Orbit Quantum Resonance Asymmetric Stretch Rydberg Series Quantum Approximation 
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  1. 1.
    G. Tanner, K. Richter and J.M. Rost: Rev. Mod. Phys., submitted (1998)Google Scholar
  2. 2.
    J.G. Leopold and I.C. Percival: J. Phys. B 13, 1037 (1980)ADSCrossRefGoogle Scholar
  3. 3.
    M. Born: In: Vorlesungen über Atommechanik. Berlin: Springer 1925; english translation: The Mechanics of the Atom. New York: Ungar 1927Google Scholar
  4. 4W. Heisenberg: letter to Sommerfeld, 28 October 1922; archive of the Deutsches Museum, Munich, 1922. The role of W. Heisenberg at this stage of the “old quantum theory” is also described in: D.C. Cassidy, Werner Heisenberg, Spektrum Akademischer Verlag Heidelberg 1995, Sec. II.8: Der blonde BauernjungeGoogle Scholar
  5. 5.
    A. Sommerfeld: J. Opt. Soc. America, 7, 509 (1923)ADSCrossRefGoogle Scholar
  6. 6.
    E.A. Solov’ev: Sov. Phys. JETP 62, 1148 (1985); Zh. Eksp. Teor. Fiz. 89, 1991 (1985)Google Scholar
  7. 7.
    M. Born and W. Heisenberg: Z. Phys. 16, 229 (1923)ADSCrossRefGoogle Scholar
  8. 8.
    J.H. van Vleck: Phil. Mag. 44, 842 (1922)Google Scholar
  9. 9.
    E.A. Hylleraas: Z. Phys. 54, 347 (1929)ADSCrossRefGoogle Scholar
  10. 10.
    R.P. Madden and K. Codling: Phys. Rev. Lett. 10, 516 (1963)ADSCrossRefGoogle Scholar
  11. 11.
    C.D. Lin: Adv. At. Mol. Phys. 22, 77 (1986)CrossRefGoogle Scholar
  12. 12.
    J.M. Rost and J.S. Briggs: J. Phys. B24, 4293 (1991)ADSGoogle Scholar
  13. 13.
    D.R. Herrick: Adv. Chem. Phys. 52, 1 (1983)CrossRefGoogle Scholar
  14. 14.
    H.R. Sadeghpour and C.H. Greene: Phys. Rev. Lett. 65, 313 (1990)ADSCrossRefGoogle Scholar
  15. 15.
    J.M. Rost, J.S. Briggs and J.M. Feagin: Phys. Rev. Lett. 66, 1642 (1991)ADSCrossRefGoogle Scholar
  16. 16.
    J.M. Rost et al.: J. Phys. B30, 4663 (1997)MathSciNetADSGoogle Scholar
  17. 17.
    M. Gutzwiller: In: Chaos in Classical and Quantum Mechanics. New York: Springer 1990MATHGoogle Scholar
  18. 18.
    K. Richter et al.: J. Phys. B25, 3929 (1992)ADSGoogle Scholar
  19. 19.
    G.S. Ezra et al.: J. Phys. B24, L413 (1991)ADSGoogle Scholar
  20. 20.
    G. Tanner and D. Wintgen: Phys. Rev. Lett. 75, 2928 (1995).ADSCrossRefGoogle Scholar
  21. 21.
    K. Richter and D. Wintgen: J. Phys. B23, L197 (1990)ADSGoogle Scholar
  22. 22.
    Bürgers, D. Wintgen and J.M. Rost: J. Phys. B28, 3163 (1995).ADSGoogle Scholar
  23. 23.
    H. Friedrich and D. Wintgen: Phys. Reports 183, 37 (1989)MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    Y. Qiu, J. Müller and J. Burgdörfer: Phys. Rev. A54, 1922 (1996)ADSGoogle Scholar
  25. 25.
    B. Grémaud and P. Gaspard: J. Phys. B31, 1671 (1998)ADSGoogle Scholar
  26. 26.
    J.M. Rost and G. Tanner: In: Classical, Semiclassical and Quantum Dynamics in Atoms, eds. H. Friedrich and B. Eckhardt (Lecture Notes in Physis 485, p. 274). Berlin: Springer 1997Google Scholar

Copyright information

© Springer-Verlag/Wien 1999

Authors and Affiliations

  • Jan M. Rost
    • 1
  1. 1.Theoretical Quantum Dynamics Fakultät für PhysikUniversität FreiburgFreiburgGermany

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