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Related Experiment Videos

Complete numerical solution of electron-hydrogen model collision problem above the ionization threshold

Jones1, Stelbovics

  • 1Centre for Atomic, Molecular and Surface Physics, School of Mathematical and Physical Sciences, Murdoch University, Perth 6150, Australia.

Physical Review Letters
|October 4, 2000
PubMed
Summary

Benchmark results for electron-hydrogen collisions are presented using the S-wave model. This study achieves accurate elastic, inelastic, and ionization results by numerically integrating Schrodinger

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Mechanics
  • Computational Chemistry

Background:

  • The S-wave (Temkin-Poet) model simplifies electron-hydrogen collisions by neglecting angular momentum.
  • Accurate calculation of scattering amplitudes, especially ionization, is crucial for understanding atomic collisions.
  • Previous methods struggled with convergence for Coulomb three-body problems.

Purpose of the Study:

  • To present benchmark results for electron-hydrogen collisions in the S-wave model.
  • To demonstrate a novel method for achieving convergent ionization amplitudes.
  • To provide accurate scattering data for comparison with other theoretical approaches.

Main Methods:

  • Numerical integration of Schrodinger's equation.
  • Application of correct asymptotic boundary conditions.

Related Experiment Videos

  • Focus on the S-wave approximation, neglecting angular momentum.

    • Main Results:

    • Complete scattering results (elastic, inelastic, ionization) obtained with 1% accuracy.
    • Demonstrated convergence of ionization amplitudes using direct matching to asymptotic boundary conditions.
    • Presented results for impact energies of 54.4 eV and 40.8 eV.

    Conclusions:

    • Direct matching to asymptotic boundary conditions successfully yields convergent ionization amplitudes for a Coulomb three-body problem.
    • The S-wave model with accurate boundary conditions provides reliable benchmark data for electron-hydrogen scattering.
    • The findings offer a validated computational approach for atomic collision studies.