The Structure of Rydberg Atoms in Strong Static Fields

  • J. C. Gay
Part of the Nato ASI Series book series (NSSB, volume 143)


Among the numerous works carried out on Rydberg atoms for the last ten years, the class which is concerned with their properties in external fields has some singular character, As for other experiments, on Q.E.D., superradiance...the existence of scaling laws in the Rydberg ladder was an early motivation. This indeed offers a unique opportunity of experimentally studying unsolved questions at laboratory field conditions. But their singular character lies in that they aim at a complete perturbation of the atomic system itself, which, in some conditions, recalls everything but an atom. Actually, these experiments in external fields allow the deepest alterations of the atomic structure ever realized in a controlled way. This strongly contrasts with the conception which prevails in other experiments in which the atomic structure is fully respected and used as a probe of the interactions.


Angular Momentum Dynamical Group Dynamical Symmetry Rydberg Atom Coulomb Field 
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  1. 1.
    W.R.S. Garton and F.S. Tomkins, Ap. J. 158 (1969) 83CrossRefGoogle Scholar
  2. 2.
    S. Feneuille, S. Liberman, J. Pinard and P. Jacquinot, CR. Heb. Acad. Sc. 284 (1977) 291Google Scholar
  3. 3.
    R.R. Freeman and N.P. Economou, Phys. Rev. A 20 (1979) 2356ADSCrossRefGoogle Scholar
  4. 4.
    A.R.P. Rau, Phys. Rev. A 16 (1977) 613.ADSCrossRefGoogle Scholar
  5. 5.
    E.A. Solovev, JETP Lett. 34 (1981) 265.ADSGoogle Scholar
  6. 6.
    R.J. Fonck, D.H. Tracy, D. Wright and F.S. Tomkins, Phys. Rev. Lett. 40 (1978) 1366.ADSCrossRefGoogle Scholar
  7. 7.
    J.C. Gay, “High-magnetic-field atomic Physics” in Progress Atomic Spectroscopy, volume C, H.J. Beyer and H. Kleinpoppen ed. (Plenum 1984)Google Scholar
  8. 8.
    D. Kleppner, M.G. Littman and M.L. Zimmerman “Rydberg atoms in strong fields” in Rydberg States of Atoms and Molecules; R.F. Stebbings and F.B. Dunning ed. (Cambridge Un. Press, 1983)Google Scholar
  9. 9.
    C.W. Clark, K.T. Lu and A.F. Starace, “Effects of magnetic and electric fields on highly excited atoms” in Progress Atomic Spectroscopy, volume C, H.J. Beyer and H. Kleinpoppen ed. (Plenum 1984)Google Scholar
  10. 10.
    J.C. Gay, “New trends in atomic diamagnetism” in Photophysics and Photochemistry in the V.U.V., S.P. Mc Glynn et al. ed. (Reidel, 1985)Google Scholar
  11. 11.
    W.E. Lamb, Phys. Rev. 85 (1952) 259.ADSCrossRefGoogle Scholar
  12. 12.
    L.P. Gorkov and I.C Dzyaloshinskii, JETP 26 (1968) 449.ADSGoogle Scholar
  13. 13.
    R.B. Laughlin, Physica 1268 (1984) 254.Google Scholar
  14. 14.
    L.I. Schiff and H. Snyder, Phys. Rev. 55 (1939) 59.ADSzbMATHCrossRefGoogle Scholar
  15. 15.
    W. Pauli, Z. Phys. 36 (1926) 336.ADSzbMATHCrossRefGoogle Scholar
  16. 16.
    P.S. Epstein, Phys. Rev. 28 (1926) 695.ADSzbMATHCrossRefGoogle Scholar
  17. 17.
    L.D. Landau and E.M. Lifschitz, Mécanique Quantique (MIR, Moscou, (1966))zbMATHGoogle Scholar
  18. 18.
    P.J. Redmonds, Phys. Rev. 133 (1964) 1352.MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Y. Demkov, B.S. Monozon and V. Ostrovskii, JETP 39 (1970) 775.Google Scholar
  20. 20.
    L.D. Landau and E.M. Lifschitz, Mécanique (MIR, Moscou, (1966))Google Scholar
  21. 21.
    A. Durand, Mécanique Quantique (Dunod, Paris, (1970))Google Scholar
  22. 22.
    A. Messiah, Mécanique Quantique (Dunod, Paris, (1964))Google Scholar
  23. 23.
    V.A. Fok, Z. Phys. 98 (1935) 145.ADSCrossRefGoogle Scholar
  24. 24.
    L.C. Biedenharn, Phys. Rev. A 126 (1962) 845.MathSciNetADSzbMATHGoogle Scholar
  25. 25.
    A.O. Barut and C. Fronsdal, Proc. Roy. Soc. A287 (1965) 532.MathSciNetADSGoogle Scholar
  26. 26.
    A.O. Barut-Lectures in Theoretical Physics (Gordon and Breach, N.Y. (1967))Google Scholar
  27. 27.
    M. Bander and C. Itzykson, Rev. Mod. Phys. 38 (1966) 330.MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    B.R. Judd, Angular Momentum Theory for Diatomic Molecules (N.Y. Academic Press, (1975))Google Scholar
  29. 29.
    A.M. Perelomov, Sov. Phys. Usp. 20, 9 (1977) 703.ADSCrossRefGoogle Scholar
  30. 30.
    D.R. Herrick, J. Math. Phys. 16 (1975) 1047.ADSCrossRefGoogle Scholar
  31. 31.
    P. Kustaanheimo and E. Stiefel, J. Ang. Math. 218 (1965) 204 M.J. Englefield, Group Theory and the Coulomb Problem — Wiley (N.Y. 1971)MathSciNetzbMATHGoogle Scholar
  32. 33.
    C. Cohen-Tannoudji, B. Diu and F. Laloë, Mécanique Quantique (Hermann, Paris, (1973))Google Scholar
  33. 34.
    L.I. Schiff, Quantum Mechanics (McGraw Hill, N.Y. (1968))Google Scholar
  34. 35.
    D. Delande and J.C. Gay, J. Phys. B. Letters 17 (1984) L335.MathSciNetGoogle Scholar
  35. 36.
    D. Delande, Thèse de Doctorat d’Etat ès Sciences, Paris (1985) à paraîtreGoogle Scholar
  36. 37.
    E.U. Condon and H. Odabasi, Atomic Structure (Cambridge U. Press, 1980)Google Scholar
  37. 38.
    A.O. Barut and R. Raczka, Theory of Group Representations and Applications (Polish Scientific Pub., Warsaw, (1980))Google Scholar
  38. 39.
    M. Rotenberg, Ann. Phys. 19 (1962) 262.MathSciNetADSzbMATHCrossRefGoogle Scholar
  39. 40.
    L.D. Landau, Z. Phys. 64 (1930) 629.ADSzbMATHCrossRefGoogle Scholar
  40. 41.
    H. Hasegawa in Physics of Solids in Intense Magnetic Fields, E.D. Haidemenakis ed. (Plenum, 1969)Google Scholar
  41. 42.
    J.C. Gay, Comments Atom. Mol. Phys. 9 (1980) 97.Google Scholar
  42. 43.
    G. Wunner and H. Ruder, J. Physique 43, C2 (1982) 137 G. Wunner, Contribution this volumeGoogle Scholar
  43. 44.
    S.M. Kara and M.R.C. Mc Dowell, J. Phys. B, 13 (1980) 1337.ADSCrossRefGoogle Scholar
  44. 45.
    F. Penent, D. Delande, F. Biraben and J.C. Gay, Optics Comm. 49 (1984) 184.ADSCrossRefGoogle Scholar
  45. 46.
    F. Penent, Thèse 3e Cycle, Paris (1984) unpublishedGoogle Scholar
  46. 47.
    J. Andrä, private communi cationsGoogle Scholar
  47. 48.
    D. Delande and J.C. Gay, unpublished 49. E.A. Solovev, JETP 82 (1982) 1762Google Scholar
  48. 50.
    D.R. Herrick, Phys. Rev. A (1982) 323.MathSciNetGoogle Scholar
  49. 51.
    E.G. Kalnius, W. Miller and P. Winternitz, Siam J. Appl. Math. 30 (1976) 630.MathSciNetCrossRefGoogle Scholar
  50. 52.
    J.C. Gay, D. Delande, F. Biraben and F. Penent, J. Phys. B. Letters 16 (1983) L693.Google Scholar
  51. 53.
    J.C. Gay and D. Delande, Comments Atom. Mol. Physics 13, 6 (1983) 275.Google Scholar
  52. 54.
    D. Delande, Thèse 3e Cycle (Paris, 1981) unpublishedGoogle Scholar
  53. 55.
    D. Delande and J.C. Gay, Physics Letters A 82 (1981) 393.ADSCrossRefGoogle Scholar
  54. 56.
    C.W. Clark, Phys. Rev. A24 (1981) 605.ADSGoogle Scholar
  55. 57.
    J.J. Labarthe, J. Phys. B. Letters B14 (1981) L467.ADSGoogle Scholar
  56. 58.
    D. Delande, C. Chardonnet, F. Biraben and J.C. Gay in Colloque CNRS 334 “Atomic and Molecular Physics close to Ionization thresholds in High Fields”, J.P. Connerade, J.C. Gay and S. Liberman ed., J. Physique Paris 43, C2 (1982) 97Google Scholar
  57. 59.
    C.W. Clark and K.T. Taylor, Nature 292 (1981) 437.ADSCrossRefGoogle Scholar
  58. 60.
    D. Kleppner, M. Littman and M.L. Zimmerman, Scientific American 244 (1981) 108.CrossRefGoogle Scholar
  59. 61.
    D. Delande, F. Biraben and J.C. Gay in “New Trends in Atomic Physics” Les Houches Summer School XXXVIII, G. Grynberg and R. Stora ed. 352 (North Holland, 1984)Google Scholar
  60. 62.
    J.C. Gay, D. Delande and F. Biraben, J. Phys. B. Letters B13 (1980) L720.Google Scholar
  61. 63.
    J.C. Castro, M.L. Zimmerman, R.G. Hulet and D. Kleppner, Phys. Rev. Lett. 15 (1980) 1780.ADSCrossRefGoogle Scholar
  62. 64.
    P. Cacciani, Thèse 3e Cycle, Paris (1984) unpublishedGoogle Scholar
  63. 65.
    S. Haroche, Contribution this volumeGoogle Scholar
  64. 66.
    M.L. Zimmerman, M.M. Kash and D. Kleppner, Phys. Rev. Lett. 45 (1980) 1092.ADSCrossRefGoogle Scholar
  65. 67.
    T.P. Grozdanov and E.A. Solovev, J. Phys. B 15 (1982) 1195.ADSCrossRefGoogle Scholar
  66. 68.
    A.R.P. Rau, Contribution this volumeGoogle Scholar
  67. 69.
    D. Delande, unpublishedGoogle Scholar
  68. 70.
    A.R. Edmonds, J. Phys. B 6 (1973) 1603.ADSCrossRefGoogle Scholar
  69. 71.
    C.W. Clark and K.T. Taylor, J. Phys. B 13 (1980) L737.ADSCrossRefGoogle Scholar
  70. C.W. Clark and K.T. Taylor, J. Phys. B 15 (1982) 1175.ADSCrossRefGoogle Scholar
  71. 72.
    M. Robnik, J. Phys. A 14 (1981) 3195.ADSCrossRefGoogle Scholar
  72. 73.
    A. Harada and H. Hasegawa, J. Phys. A 16 (1983) L259.ADSCrossRefGoogle Scholar
  73. 74.
    J.B. Delos, S.K. Knudson and D.W. Noid, Phys. Rev. A 30 (1984) 1208.ADSCrossRefGoogle Scholar
  74. 75.
    G. Hose, H.S. Taylor and A. Tip, J. Phys. A 17 (1984) 1203.MathSciNetADSCrossRefGoogle Scholar
  75. 76.
    for example V.I. Arnold and A. Avez, Problèmes Ergodiques de la Mécanique Classique (Gauthiers-Villars, Paris, (1967))Google Scholar
  76. 77.
    U. Fano, Reports on Progress in Physics 46, 2 (1983) 97.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • J. C. Gay
    • 1
  1. 1.Laboratoire de Spectroscopie Hertzienne de 1’ENS+-Tour 12 E01Paris Cedex 05France

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