Time dependent solutions of the Schroedinger equation for future correlated two-electron systems

In order to pursue a robust model which takes full account of the electron-electron interaction in two-electrons systems, we have developed various numerical methods which may be used to directly solve the time dependent Schroedinger equation. Previously, we have examined the autoionization of helium by forming the initial two-electron state of the atom on a lattice and then time evolving this wavefunction. This process leads to autocorrelation function that has a time dependent oscillatory behavior superposed on a smooth exponential decay. A fundamental question has been whether these oscillations represent some real physical effect simply an artifact of the numerical procedure. To examine this question we have implemented an alternative approach which consists of the time dependent solution of a close coupling expansion for the full wavefunction. The autoionization of helium will be examined using this alternative method are the origins of the oscillations will be discussed