Exact and approximate second-order calculations for electron excitation of the 2p state of hydrogen
- 28 August 1987
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 20 (16) , 4173-4195
- https://doi.org/10.1088/0022-3700/20/16/026
Abstract
Second-order effects for the problem of electron excitation of the 2p state of hydrogen are examined. Some different types of second-order amplitudes which result from the distorted-wave series and the plane-wave series are discussed and fundamental amplitudes of each type are evaluated exactly. The effect of using different Green's functions as well as the effect of distortion in both the first- and second-order terms is analysed. The validity of the closure approximation for both the second-order Born approximation and the second-order distorted-wave approximation is examined through comparison with equivalent exact results. The accuracy of the local-potential approximation is discussed.Keywords
This publication has 20 references indexed in Scilit:
- Elastic and inelastic scattering of electrons and positrons by atomic hydrogen at intermediate and high energies in the unitarised eikonal-Born series methodJournal of Physics B: Atomic and Molecular Physics, 1985
- Electron scattering by atomic hydrogen: the distorted-wave second Born approximationJournal of Physics B: Atomic and Molecular Physics, 1980
- On higher order Born approximations in atomic scattering calculationsJournal of Physics B: Atomic and Molecular Physics, 1980
- Exact second Born amplitude for the electron impact excitation of the 1s to 2s transition in atomic hydrogenJournal of Physics B: Atomic and Molecular Physics, 1980
- Exact second Born amplitude for elastic electron-hydrogen scatteringJournal of Physics B: Atomic and Molecular Physics, 1979
- Electron-photon angular correlations in the electron impact excitation of H(2p)Journal of Physics B: Atomic and Molecular Physics, 1979
- Eikonal theory of electron- and positron-atom collisionsPhysics Reports, 1977
- Excitation of atomic hydrogen in the eikonal-Born-series approximationPhysical Review A, 1976
- Second Born approximation to electron and positron impact excitations of the 11S to 21S transition in heliumJournal of Physics B: Atomic and Molecular Physics, 1975
- Application of a simplified second Born approximation to the scattering of electrons and protons by hydrogen atomsJournal of Physics B: Atomic and Molecular Physics, 1968