Radiation conditions for the time-dependent Schrödinger equation: Application to strong-field photoionization

Abstract

Radiation conditions are introduced as an exact method to truncate numerical solutions of the time-dependent Schr\"odinger-equation at the boundaries of the numerical grid. A rigorous derivation of radiation conditions is given by the Green-function method for one- and three-dimensional regions. An accurate finite-difference representation is obtained for a one-dimensional region. The method is applied to calculations of strong-field photoionization. The calculation of ionization probabilities and energy spectra by the truncated solution is illustrated.