Am. Ermolaev, ATOMIC STATES IN THE RELATIVISTIC HIGH-FREQUENCY APPROXIMATION OF KRISTIC-MITTLEMAN, Journal of physics. B, Atomic molecular and optical physics, 31(3), 1998, pp. 65-74
The three-dimensional atomic potentials in the presence of a superinte
nse laser field have been discussed within the relativistic high-frequ
ency approximation of Kristic and Mittleman. Using a one-dimensional m
odel, 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 investigat
ed. In the full domain of the laser parameters, frequency omega and th
e peak field strength epsilon(0), the one-dimensional bound states exh
ibit remarkable features. The numerical calculations show the existenc
e of a very wide intermediate range of field strengths when, in the ze
roth-order of the high-frequency approximation, the binding is stabili
zed by the field.