  We investigate the accuracy and efficiency of the semiclassical Frozen
Gaussian method in describing electron dynamics in real time. Model systems of
two soft-Coulomb-interacting electrons are used to study correlated dynamics
under non-perturbative electric fields, as well as the excitation spectrum. The
results show that a recently proposed method that combines exact-exchange with
semiclassical correlation to propagate the one-body density-matrix holds
promise for electron dynamics in many situations that either wavefunction or
density-functional methods have difficulty describing. The results also however
point out challenges in such a method that need to be addressed before it can
become widely applicable.
