A Variational Calculation of the Elastic Scattering of Electrons by Hydrogen Atoms
- 15 March 1954
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 93 (6) , 1225-1227
- https://doi.org/10.1103/physrev.93.1225
Abstract
The Schwinger variational method for three-body collisions is applied to the calculation of elastic scattering of electrons by hydrogen atoms in the energy range 0-10 volts. When a Born trial field is used, the contributions of the ground state and all the excited states including the continuum can be calculated. The former contribution is equivalent to the static field approximation and the latter contributions give the corrections to it. When these are included, the results do not agree with those of Massey and Moiseiwitsch who use a different approximation. We conclude that the Schwinger variational method with a Born trial field is unsatisfactory in this energy range.Keywords
This publication has 8 references indexed in Scilit:
- Applications of Variational Principles to Scattering ProblemsPhysical Review B, 1953
- Tables for Second Born Approximation Scattering from Various Potential FieldsPhysical Review B, 1953
- Variational Principles for Three-Body Scattering ProblemsPhysical Review B, 1953
- The application of variational methods to atomic scattering problems - I. The elastic scattering of electrons by hydrogen atomsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951
- Variational Methods in Nuclear Collision ProblemsPhysical Review B, 1948
- The Motion of an Electron in the Hartree Field of a Hydrogen Atom.The Astrophysical Journal, 1946
- The motion of electrons in the static fields of hydrogen and heliumProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1932
- The Scattering of Slow Electrons by Neutral AtomsPhysical Review B, 1932