Abstract

AbstractIn this appendix we describe asymptotic expansion methods which have been developed and applied in the study of electron, positron and multiphoton collision processes. We consider first asymptotic expansion solutions of the coupled second-order differential equations which arise in the study of electron and positron collisions with atoms, ions and molecules. We then consider asymptotic expansion solutions of the coupled second-order differential equations which arise in R-matrix–Floquet theory of multiphoton ionization and laser-assisted electron–atom and electron–ion collisions when the velocity gauge is adopted in the asymptotic region.KeywordsAsymptotic ExpansionRecurrence RelationAsymptotic RegionAtom CollisionMultiphoton IonizationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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