Atomic states in the relativistic high-frequency approximation of Kristic-Mittleman

The three-dimensional atomic potentials in the presence of a superintense laser field have been discussed within the relativistic high-frequency approximation of Kristic and Mittleman. Using a one-dimensional model, similar to that employed by Kylstra, Ermolaev and Joachain in ab initio calculations on the time-dependent Dime equation, the electron mass shift due to dressing by a superstrong laser field is investigated. In the full domain of the laser parameters, frequency omega and the peak field strength epsilon(0), the one-dimensional bound states exhibit remarkable features. The numerical calculations show the existence of a very wide intermediate range of field strengths when, in the zeroth-order of the high-frequency approximation, the binding is stabilized by the field.