Adiabatic Approximation of the Correlation Function in the   Density-Functional Treatment of Ionization Processes
  The ionization of a one-dimensional model Helium atom in short laser pulses using time-dependent density functional theory is investigated. We calculate ionization probabilities as a function of laser intensity by approximating the correlation function of the system adiabatically with an explicit dependence on the fractional number of bound electrons. For the correlation potential we take the derivative discontinuity at integer numbers of bound electrons explicitly into account. This approach reproduces ionization probabilities from the solution of the time-dependent Schroedinger equation, in particular the so-called "knee" due to nonsequential ionization. 
F. Wilken, D. Bauer