Advertisement

One-and two-photon free-free transitions in a coulomb field

  • Alfred Maquet
III Models and Phenomena
Part of the Lecture Notes in Physics book series (LNP, volume 211)

Abstract

We have presented recent applications of two different representations of the Coulomb Green's function in the field of atomic physics. The so-called sturmian expansion of the CGF has been used for computing two-and three-photon “above threshold” ionization cross sections, processes in the course of which the photoelectrons experience (virtual) free-free transitions. Our computation has permitted to discard a recent hypothesis which had been formulated in order to interpret recent experimental results. We have presented also a progress report on the calculation of two-photon transitions amplitudes in the continuous spectrum of a Coulomb field. Our calculation, performed within the framework of a perturbative theory, relies on the use of the Schwinger representation of the CGF. Our “exact” results will permit to assess the respective ranges of validity of both the perturbative and non-perturbative approaches. These two examples clearly illustrate the usefulness of the compact representation of the CGF presented here,for performing perturbative computations in a Coulomb field.

Keywords

Laser Field Ionization Cross Section Coulomb Field Pad4 Approximants Photoelectron Experience 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    A.Sommerfeld, “ Atombau and Spektrallinien” (Vieweg, Braunschweig, 1939) Vol.II, p.495Google Scholar
  2. (2).
    A.Weingartshofer, J.K. Holmes, J.Sabbagh and S.L.Chin, J.Phys. B, 16, 1805 (1983) and references therein.Google Scholar
  3. (3).
    D.Asdrick and L.Langhans, J.Phys. B 11, 2355 (1978).Google Scholar
  4. (4).
    F.Fabre, G.Petite, P.Agostini and M.Clement, J.Phys. B 15, 1353 (1982) and references therein.Google Scholar
  5. (5).
    P.Kruit, H.G.Muller, J.Kimman and M.J.Van derWiel, J.Phys. B 16, 937 (1983).Google Scholar
  6. (6).
    R. Hippler, H.J.Humpert, H.Schwier, S.Jetzke and H.O.Lutz,in press.Google Scholar
  7. (7).
    Though the cross section for two-photon spontaneous emission is expected to be extremely small there is still some hope to observe such a process in the field of a heavy nucleus (H.Kleinpoppen private communication).Google Scholar
  8. (8).
    A.Maquet, Phys.Rev. A 15, 1088 (1977).Google Scholar
  9. (9).
    J.Schwinger, J.Math.Phys. 5, 1606 (1964).Google Scholar
  10. (10).
    S.Klarsfeld and A.Maquet, Phys.Lett. 78A, 40 (1980); see also A.Tip (this volume) who presents a complementary aspect of this type of processes.Google Scholar
  11. (11).
    V.Fock, Z.Phys. 98, 145 (1935).Google Scholar
  12. (12).
    J.C.Y.Chen and A.C.Chen in “Advances in Atomic and Molecular Physics” edited by D.R. Bates and I.Estermann (Academic, New York, 1972) Vol. 8.Google Scholar
  13. (13).
    M.Rotenberg, in “Advances in Atomic and Molecular Physics” edited by D.R.Bates and I.Estermann (Academic, New York, 1970) Vo1.6.Google Scholar
  14. (14).
    P.S.Epstein, Proc. Natl. Acad. Sci. (USA) 12, 637 (1926)Google Scholar
  15. (14a).
    B.Podolsky, Proc. Natl. Acad. Sci. (USA) 14, 253 (1928).Google Scholar
  16. (15).
    Recent references include: J.T.Broad, Phys. Rev. A26, 3078, (1982); in “Electron-Atom and Electron-Molecule Collisions”, J.Hinze ed. (Plenum, London, 1983); S.Jetzke et al. 1984 (unpublished).CrossRefGoogle Scholar
  17. (16).
    N.M.Kroll and K.M.Watson, Phys.Rev. A8, 804 (1973).CrossRefGoogle Scholar
  18. (17).
    R.H.Dalitz, Proc.Roy. Soc. (London) A 206, 509 (1951); R.R.Lewis, Phys.Rev. 102, 537 (1956).Google Scholar
  19. (18).
    F.E. Low, Phys. Rev. 110, 974 (1958).Google Scholar
  20. (19).
    M.Gavrila and A.Costescu, Phys. Rev. A2, 1752 (1970).Google Scholar
  21. (20).
    M.Gavrila and A.Maquet, to be published.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

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

Personalised recommendations