Numerical study of the dispersion relation for e--H scattering
- 11 July 1977
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 10 (10), 1945-1953
- https://doi.org/10.1088/0022-3700/10/10/023
Abstract
Numerical studies of the dispersion relation for forward scattering are reported for electrons scattered by atomic hydrogen. As has previously been shown for electron-helium scattering, the relation of Gerjuoy et al. (1960, 1972) has to be modified. The extra term to be included, the so-called discrepancy function Delta (E), is related to the non-analyticity of the exchange part of the scattering amplitude for negative energies. This function, which corresponds to an integral over the left-hand cut discontinuity, is evaluated.Keywords
This publication has 22 references indexed in Scilit:
- A dispersion relation for forward scatteringJournal of Physics B: Atomic and Molecular Physics, 1976
- Scattering of electrons by hydrogen atoms at intermediate energies: Elastic differential cross sections from 10 to 30 eVPhysical Review A, 1975
- Derivation of Dispersion Relations for Atomic Scattering ProcessesPhysical Review Letters, 1975
- Scattering of electrons by hydrogen atoms at intermediate energies: total and differential cross sections for excitation of n=2 statesJournal of Physics B: Atomic and Molecular Physics, 1975
- Electron and positron scattering by helium and neonJournal of Physics B: Atomic and Molecular Physics, 1975
- A phase-shift analysis of electron-helium scattering: I - Elastic scattering below the 2S resonanceJournal of Physics B: Atomic and Molecular Physics, 1969
- Electron-Hydrogen Scattering CalculationPhysical Review B, 1968
- Dispersion Relations for Electron Scattering from Atomic HeliumPhysical Review B, 1962
- Dispersion Relations in Atomic Scattering ProblemsPhysical Review B, 1960
- Collisions of Electrons with Hydrogen Atoms. I. IonizationPhysical Review B, 1958