Integral boundary conditions for the time-dependent Schrodinger equation: Superposition of the laser field and a long-range atomic potential - art. no. 015401

We discuss long-range corrections for the integral boundary condition (IBC) introduced in A. M. Ermolaev, I. V. Puzynin, A. V. Selin, and S. I. Vinitu ky, Phys. Rev. A 60, 4831 (1999), in the case of the time-dependent Schrodi nger equation with a long-range atomic potential. As in the work of Ermolae v et al. the laser-atom interaction is taken in the dipole approximation. T he IBC techniques require the knowledge of the Green's function of the prob lem, beyond some surface sigma remote from the atom. We consider the eikona l approximation (EA) for the Green's function in the asymptotic region and pc-form numerical tests on a one-dimensional problem with the soft Coulomb potential. We demonstrate that the account of long-range corrections, withi n the EA, allows us to reduce significantly the size of the space domain re quired for numerical integration and improves essentially on the accuracy o f the computed spectral distribution for the ejected electrons.