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Dynamics in Few Body Coulomb Problems

  • S. Yu. Ovchinnikov
  • J. H. Macek
  • R. S. Tantawi
  • A. S. Sabbah
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 10)

Abstract

We develop the “positive energy Sturmian technique” for the solution of time-dependent Schrödinger equations which describe few Coulomb centers with scattering initial conditions. The “positive energy Sturmian technique” is based on the following main steps: (i) time-dependent scaled transformation; (ii) Fourier transformation into the frequency domain; (iii) outgoing wave Sturmian expansions; and (iv) solution of coupled equations. The technique has been applied in electron-atom and ion-atom collisions for calculations of energy and angular distributions of emitted electrons and excitations of atoms.

Keywords

Schrodinger Equation Ioffe Physical Technical Institute Galilean Transformation Stationary Phase Method Coulomb Center 
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.
    E.A. Solov’ev and S.I. Vinitsky: J. Phys. B18, L557 (1985)ADSGoogle Scholar
  2. 2.
    S.Yu. Ovchinnikov and J.H. Macek: Phys. Rev. Lett. 75, 2474 (1995)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag/Wien 1999

Authors and Affiliations

  • S. Yu. Ovchinnikov
    • 1
    • 2
    • 3
  • J. H. Macek
    • 1
    • 2
  • R. S. Tantawi
    • 1
    • 2
  • A. S. Sabbah
    • 1
    • 2
    • 4
  1. 1.Physics DivisionOak Ridge National LaboratoryOak RidgeUSA
  2. 2.Department of PhysicsUniversity of TennesseeKnoxvilleUSA
  3. 3.Ioffe Physical Technical InstituteSt. PetersburgRussia
  4. 4.Department of MathematicsFaculty of ScienceZagazig UniversityZagazigEgypt

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