A note on the analyticity of the elastic forward electron-atom exchange scattering amplitude
- 1 June 1977
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 10 (8) , L295-L297
- https://doi.org/10.1088/0022-3700/10/8/007
Abstract
Earlier results (Tip 1977) concerning the analytic behaviour of the non-Born part of the exchange amplitude for elastic forward electron-ground-state-atom scattering are improved. This amplitude besides being analytic in the complex plane outside the real axis is also meromorphic through a gap stretching from the bottom of the continuous spectrum of the Hamiltonian to the left over a distance B, B being the ionisation energy of the atom.Keywords
This publication has 3 references indexed in Scilit:
- The analytic structure of the elastic forward electron-atom scattering amplitudeJournal of Physics B: Atomic and Molecular Physics, 1977
- A dispersion relation for forward scatteringJournal of Physics B: Atomic and Molecular Physics, 1976
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operatorsCommunications in Mathematical Physics, 1973