  The classical limit of the Wigner-Weyl representation is used to approximate
products of bound-continuum matrix elements that are fundamental to many
coherent control computations. The range of utility of the method is quantified
through an examination of model problems, single-channel Na_2 dissociation and
multi-arrangement channel photodissociation of CH_2IBr. Very good agreement
with the exact quantum results is found for a wide range of system parameters.
