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Atomic radiative transitions in strong fields via pade approximants

  • A. Maquet
Part II: Short Communications
Part of the Lecture Notes in Mathematics book series (LNM, volume 888)

Keywords

Multiphoton Ionization Continue Fraction Expansion Potential Scattering Pade Approximants Multilevel Atom 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A.T. Amos, J. Phys. B 11, 2053 (1978) and references therein. A recent survey of Physical Applications may be found in “Padé and Rational Approximation”, E.B. Saff and R.S. Varga, Editors, (Academic Press, New York, 1977).CrossRefGoogle Scholar
  2. 2.
    B. Simon, Ann. Phys. (N.Y.) 58, 76 (1970).CrossRefGoogle Scholar
  3. 3.
    H.J. Silverstone and P.M. Koch, J. Phys. B 12, L537 (1979).CrossRefGoogle Scholar
  4. 4.
    D. Bessis, P. Moussa and G. Turchetti, J. Phys. A 13, 2763 (1980) and references therein.CrossRefGoogle Scholar
  5. 5.
    P. Lambropoulos in “Advances in Atomic and Molecular Physics”, edited by D.R. Bates and B. Bederson (Academic Press, New York, 1976) Vol. 12, p. 87.Google Scholar
  6. 6.
    S. Klarsfeld and A. Maquet, Phys. Lett. 78A, 40 (1980) and references therein.CrossRefGoogle Scholar
  7. 7.
    A.K. Common and T. Stacey, J. Phys. A 11, 259 (1978); ibid.A.K. Common and T. Stacey, J. Phys. A 11. 275 (1978); A.K. Common, J. Phys. A 12, 1399 (1979); ibid.A.K. Common and T. Stacey, J. Phys. A 11, 2563 (1979). See also: J. Fleischer, Nucl. Phys. B 37, 59 (1972); J. Math. Phys. 14, 246 (1973).MathSciNetCrossRefGoogle Scholar
  8. 8.
    C.R. Garibotti and F.F. Grinstein, J. Math. Phys. 19, 821 (1978); ibid.C.R. Garibotti and F.F. Grinstein., J. Math. Phys. 19, 2405 (1978);ibid.C.R. Garibotti and F.F. Grinstein, J. Math. Phys. 20, 141 (1979).MathSciNetCrossRefGoogle Scholar
  9. 9.
    A. Maquet, S.I. Shu and W.P. Reinhardt, submitted to Phys. Rev. A.Google Scholar
  10. 10.
    J. Schwinger, J. Math. Phys. 5, 1606 (1964); L. Hostler, J. Math. Phys. 11, 2966 (1970).MathSciNetCrossRefGoogle Scholar
  11. 11.
    A. Maquet, Phys. Rev. A 15, 1088 (1977).CrossRefGoogle Scholar
  12. 12.
    M. Rotenberg, Ann. Phys. (N.Y.) 19, 262 (1962); in “Advances in Atomic and Molecular Physics”, Edited by D.R. Bates and I. Estermann (Academic Press, N.Y. 1970) Vol. 6.MathSciNetCrossRefGoogle Scholar
  13. 13.
    P. Agostini, F Fabre, G. Mainfray, G. Petite and N.K. Rahman, Phys. Rev. Lett. 42, 1127 (1979).CrossRefGoogle Scholar
  14. 14.
    G.A. Baker Jr., “Essentials of Padé Approximants” (Academic Press, New-York, 1975).zbMATHGoogle Scholar
  15. 15.
    C. Brezinski, “Accélération de la Convergence en Analyse Numérique” (Springer Verlag, Berlin, 1977).CrossRefzbMATHGoogle Scholar
  16. 16.
    H.S. Wall, “Analytic Theory of Continued Fractions” (Chelsea, Bronx N.Y., 1948).zbMATHGoogle Scholar
  17. 17.
    W. Gordon, Z. Phys. 48, 180 (1928).CrossRefGoogle Scholar
  18. 18.
    N.F. Mott and H.S.W. Massey, “The Theory of Atomic Collisions” (Oxford, London, 1965).zbMATHGoogle Scholar
  19. 19.
    J.R. Taylor, Nuovo Cim. 23B, 313 (1974).CrossRefGoogle Scholar
  20. 20.
    P. Hillion, J. Math. Phys. 16, 1920 (1975).MathSciNetCrossRefGoogle Scholar
  21. 21.
    M. Gavrila and M. Van der Wiel, Comments on Atomic and Molecular Physics (1978).Google Scholar
  22. 22.
    A.J.F. Sommerfeld, “Atombau und Spektrallinien” (Ungar, New York, 1953). Vol. 2.zbMATHGoogle Scholar
  23. 23.
    L.C. Biedenharn, Phys. Rev. 102, 262, (1956).CrossRefGoogle Scholar
  24. 24.
    S. Stenholm, Phys. Reports, 6, 1 (1973);F.T. Hioe and E.W. Montroll, J. Math. Phys. 16, 1259 (1975).CrossRefGoogle Scholar

Copyright information

© Srpinger-Verlag 1981

Authors and Affiliations

  • A. Maquet
    • 1
  1. 1.Laboratoire de Chimie PhysiqueUniversité Pierre et Marie CurieParis Cedex 05France

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