The quantum kinetics of optically excited crystal electrons coupled to a ba
th of dispersionless phonons is studied in the regime of strong electron-ph
onon coupling. Four wave-mixing experiments on a thin film of bulk ZnSe usi
ng 13 fs blue pulses give evidence for corresponding effects that are disti
nctly different from those found for GaAs which has proven to be a model sy
stem for the weak-coupling regime. The experimental results on ZnSe are com
pared with solutions of a simple model Hamiltonian of electron-phonon inter
action suitable for both GaAs and ZnSe. Exact analytic solutions of this mo
del for arbitrary electron-phonon coupling strengths are compared with nume
rical solutions of the same model following the usual approach in terms of
an infinite hierarchy of correlation functions. Virtues and limitations of
the simple model Hamiltonian with respect to the experiment are discussed.
[S0163-1829(99)10441-7].