TIME-DEPENDENT APPROACH TO HIGH-RESOLUTION SPECTROSCOPY - APPLICATIONTO THE PHOTOABSORPTION SPECTRUM OF CLASSICALLY CHAOTIC HYDROGEN-ATOMSIN MAGNETIC-FIELDS

We present a new time-dependent approach far probing the dynamics and high-resolution spectroscopy of Rydberg systems in the presence of ext ernal fields. The procedure is based on the extension of a recent deve lopment of a generalized pseudospectral time-dependent method which al lows for non-uniform spatial grid discretization, and long-time propag ation of the time-dependent Schrodinger equation with both high accura cy and efficiency. The method is demonstrated by a case study of the p hotoabsorption spectrum of atomic hydrogen in the presence of static m agnetic fields. Excellent agreement of the time-dependent results with the high-resolution experimental spectrum is achieved line by line, c overing both the classically regular and chaotic regimes. (C) 1998 Pub lished by Elsevier Science B.V. All rights reserved.