Application of the Harris Expansion Method to the Elastic S-Wave Scattering of Electrons by Hydrogen Atoms and by Singly Ionized Helium.

Abstract

The Harris expansion method was applied to the elastic s-wave scattering of low energy electrons from hydrogen atoms and singly ionized helium atoms. The trial wave functions are Hylleraas functions of 22, 34, 50 and 70 parameters. It was found that reasonably accurate values of 2-H phase shifts can be calculated but e-He(+) phase shifts are substantially less reliable. It is shown that the Harris method gives an accurate depiction of the location, but not the width, of the scattering resonances. Singlet and triplet s-wave phase shifts for e-H and e-He(+) scattering were compared with the results of other calculations, and H(-) and He S state energy levels including the auto-ionizing levels are presented and compared with other calculations and with experiment. It is tentatively concluded that the Harris method does not work on systems whose long range potential is of the Coulomb type. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1972
Accession Number
AD0758500

Entities

People

  • Hugh Brasher Haskell

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Electrons
  • Energy Levels
  • Hydrogen
  • Phase Shift
  • Resonance
  • Scattering
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Molecular Photonics/Laser Physics
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics