Introducing a phase factor for the two-electron continuum representation

Abstract

SynopsisWe propose an approach to describe three-body Coulomb continuum wave functions in the entire space. It makes use of expansions on Convoluted Quasi Sturmian (CQS) basis, modified by an adequate phase factor as to possess an asymptotic form very close to the formal one. To show numerically that they constitute a suitable set of basis functions we consider the two-electron continuum case (e.g., electron impact double ionization of helium): a considerable improvement of the partial transition amplitudes’ convergence rate is indeed observed.