Effective potentials for time-dependent calculations of multiphoton processes in atoms

Abstract

Time-dependent calculations of multiphoton processes in multielectron atoms can utilize effective potentials to reduce the calculation to one for a single electron. The time-dependent Schrödinger equation for the wavefunction of this electron is solved using a finite-difference, implicit integration scheme. From this time-dependent wave function we can extract cross-sections and/or rates for photoemission, excitation and ionization. The effective potentials are constructed from Hartree-Slater calculations on the ground state of the atoms. Illustrative results are presented.