Introducing a phase factor for the two-electron continuum representation

30th International Conference on Photonic, Electronic, and Atomic Collisions

Zaytsev, A.S.^1 ; Ancarani, L.U.^2 ; Zaytsev, S.A.^1

Pacific National University, Khabarovsk

680035, Russia^1

Équipe TMS, UMR CNRS 7565, Université de Lorraine, Metz

57078, France^2

关键词: Asymptotic forms;    Basis functions;    Convergence rates;    Electron-impact double ionization;    Phase factor;    Sturmian;    Three body;    Transition amplitudes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/875/7/062052/pdf
DOI  :  10.1088/1742-6596/875/7/062052

来源: IOP

【 摘 要 】

Synopsis We 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.