Dynamics in Few Body Coulomb Problems

Abstract

We develop the “positive energy Sturmian technique” for the solution of time-dependent Schrödinger equations which describe few Coulomb centers with scattering initial conditions. The “positive energy Sturmian technique” is based on the following main steps: (i) time-dependent scaled transformation; (ii) Fourier transformation into the frequency domain; (iii) outgoing wave Sturmian expansions; and (iv) solution of coupled equations. The technique has been applied in electron-atom and ion-atom collisions for calculations of energy and angular distributions of emitted electrons and excitations of atoms.