We describe a new semiclassical approximation of short time dynamics i
n a multidimensional system that explicitly includes multiple anharmon
ic wells in the ground electronic state. Coherent states are propagate
d in a locally quadratic approximation to the excited state potential
using variationally optimized equations of motion for a common set of
parameters for each ground state well. Initial applications of this me
thod are to optical response of small van der Waals clusters.