  We calculate for a binary mixture of Lennard-Jones particles the time
dependence of the solution of the mode-coupling equations in which the full
wave vector dependence is taken into account. In addition we also take into
account the short time dynamics, which we model with a simple memory kernel. We
find that the so obtained solution agrees very well with the time and wave
vector dependence of the coherent and incoherent intermediate scattering
functions as determined from molecular dynamics computer simulations.
Furthermore we calculate the wave vector dependence of the Debye-Waller factor
for a realistic model of silica and compare these results with the ones
obtained from a simulation of this model. We find that if the contribution of
the three point correlation function to the vertices of the memory kernel are
taken into account, the agreement between theory and simulation is very good.
Hence we conclude that mode coupling theory is able to give a correct
quantitative description of the caging phenomena in fragile as well as strong
glass-forming liquids.
