Abstract
Within a 1-dimensional model we calculate quantum mechanically the probability to ionize a highly excited hydrogen atom by a monochromatic microwave field. Based on a detailed analysis of the ionization process we developed a computational scheme as well as a simple physical framework which are presented and discussed. Our calculations are in good agreement with the experimental results. We show that the experimentally measured ionization thresholds are due to a sharp transition between two localization regimes and that recently measured structures below the classical chaos border are due to unresolved clusters of Floquet pseudo crossings. We propose an experimental method by which one could measure the distance and distribution of crossing Floquet eigenvalues.
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