Theory of Atomic Collisions

  • Igor I. Sobel’man
  • Leonid A. Vainshtein
  • Evgenii A. Yukov
Part of the Springer Series on Atoms+Plasmas book series (SSAOPP, volume 15)


In this chapter the fundamentals of the general theory of electron collisions with atoms and ions are considered. The treatment begins with the simplest case of scattering in a central field. The quasi-classical (impact parameter) approximation for scattering phases η(p) and their connection with quantum phases ηλ are obtained. Formulas expressing the cross sections in terms of unitary S matrices are given.


Total Cross Section Elastic Scattering Inelastic Scattering Polarization Potential Atomic Collision 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 2.1
    N.F. Mott, H.S.F. Massey: The Theory of Atomic Collisions (Pergamon, Oxford 1965)Google Scholar
  2. 2.2
    M.L. Goldberger, K.M. Watson: Collision Theory (Wiley, New York 1964)zbMATHGoogle Scholar
  3. 2.3
    Ch.J. Joachain: Quantum Collision Theory (North-Holland, Amsterdam 1975)Google Scholar
  4. 2.4
    M.R.H. Rudge: Rev. Mod. Phys. 40, 564 (1968)ADSCrossRefGoogle Scholar
  5. 2.5
    R.P. Peterkop: Teoriya Ionizatsii Atomov Elektronnym Udarom (Theory of Ionization Atoms by Electron Impact, in Russian) (Zinatne, Riga 1975)Google Scholar
  6. 2.6
    I.I. Sobel’man: Atomic Spectra and Radiative Transitions, 2nd edn., Springer Ser. Atoms Plasmas, Vol.12 (Springer, Berlin, Heidelberg 1992); 1st edn., Springer Ser. Chem. Phys., Vol.1 (Springer, Berlin, Heidelberg 1979)Google Scholar
  7. 2.7
    L.A. Vainshtein, I.I. Sobel’man: Zh. Eksp. Teor. Fiz. 39, 767 (1960)Google Scholar
  8. 2.8
    M.J. Seaton: Proc. Phys. Soc. 77, 184 (1961)MathSciNetADSzbMATHCrossRefGoogle Scholar
  9. 2.9
    M.J. Seaton: Adv. Atom. Molec. Phys. 11, 83 (1975)ADSCrossRefGoogle Scholar
  10. 2.10
    H.S.W. Massey, E.H.S. Burhop, H.B. Gilbody: Electronic and Ionic Impact Phenomena Vol.1 (Clarendon, Oxford 1969)Google Scholar
  11. 2.11
    R. Courant, D. Hilbert: Methoden der Mathematischen Physik (Springer, Berlin 1931) Vol.1CrossRefGoogle Scholar
  12. 2.12
    L.A. Vainshtein: Phys. Scripta 33, 336 (1986)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Igor I. Sobel’man
    • 1
  • Leonid A. Vainshtein
    • 1
  • Evgenii A. Yukov
    • 1
  1. 1.P. N. Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

Personalised recommendations