Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
5-1-1985
Abstract
We use techniques of singular perturbation theory to investigate the scattering of nonrelativistic charged particles by a standing light wave (Kapitza-Dirac scattering). Unlike previous treatments, we give explicit results for the effects of the time-dependent part of the field. For low field intensity or low particle energy, we show that the leading-order effects can be found from an averaged equation, and we compute corrections. For the strong fields that can be produced by modern lasers and/or high particle energies, we show that the time dependence of the potential leads to focusing. Our methods can be applied to other problems with time-periodic potentials.
Publisher
American Physical Society
Publication Title
Physical Review A
ISSN
1050-2947
Volume
31
Issue
5
First Page
3155
Last Page
3168
Language (ISO)
English
Sponsorship
American Physical Society
Recommended Citation
Physical Review A, 31(5): 3155-3168
Comments
Article author is part of the Main Campus Math Department.