Linear-least-squares fitting method for the solution of the time-dependent Schrodinger equation: Applications to atoms in intense laser fields - art. no. 053411

摘要

An alternative theoretical approach for solving the Lime-dependent Schrodinger equation for atoms in an intense laser field is presented. In this method the time-dependent wave function is expanded in a basis set but the expansion coefficients are determined by linear-least-squares fitting of the wave function on discrete mesh points in configuration space, thus avoiding the need of evaluating a large number of matrix elements. We illustrate the method by computing wave functions, above-threshold ionization spectra, and harmonic generation spectra of a model atom and compare the results with those obtained using the split-operator method. [References: 27]