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.KeywordsSchrodinger EquationIoffe Physical Technical InstituteGalilean TransformationStationary Phase MethodCoulomb CenterThese 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.