Over the past 6 years at Queen's University Belfast,
we have made considerable strides in solving
the fundamental, time-dependent, three-body
problem presented by laser-driven helium
and, latterly, that which arises in
laser-driven H2+ when vibrational
dissociation is allowed to take place.
The underlying spirit of our work has been to treat
the electronic motion of the systems
in full-dimensionality and the nuclear motion in
appropriate lower-dimensionality. We are of course interested
primarily in those high laser intensity ranges
where both electrons of helium can gain enough
energy to ionize.
The three primary goals of our integrations
of the Time-Dependent
Schrödinger Equation (TDSE) have been:
The calculation of intense-field (two-electron) phenomena
that no low-dimensionality or ad hoc theory can adequately model.
Support for the design of simplified theoretical models (if any) of
multi-electron, atom-laser interactions.
Support and guidance for laboratory experiment.
In this talk I will report progress
in each of these lines of research but will nevertheless
concentrate on our latest results. For helium these
are at laser wavelengths of 390 nm (where
direct comparison with laboratory experiment has been
possible) and also for wavelengths around 20 nm where novel
ionization mechanisms are found to occur. The latter
wavelength range is of particular relevance to laboratory
experiments that could exploit the
new free-electron-laser source under development in