Linear-least-squares-fitting procedure for the solution of a time-dependent wave function of a model atom in a strong laser field in the Kramers-Henneberger frame - art. no. 043403

We present a linear-least-squares-fitting method to solve the time-dependen t Schrodinger equation of a one-dimensional model atom in an intense laser field in the Kramers-Henneberger frame. In comparison with calculations in the laboratory frame, it is shown that in the Kramers-Henneberger frame, th e method is more stable and larger time steps in the propagation can be use d. The fitting procedure also allows for easy change of basis functions dur ing the time propagation. The method is applied to study the stabilization of a model atom in an intense laser field where the electron is bound initi ally by a one-dimensional soft Coulomb potential.