  We present a preliminary surface-hopping approach for modeling intersystem
crossing (ISC) dynamics between four electronic states: one singlet and one
(triply degenerate) triplet. In order to incorporate all Berry force effects,
the algorithm requires that, when moving along an adiabatic surface associated
with the triplet manifold, \mycomment{one must also keep track of a
quasi-diabatic index (akin to a "$m_s$" quantum number) for each trajectory.
For a simple model problem, we find that a great deal of new physics can be
captured by our algorithm, setting the stage for larger, more realistic (or
perhaps even {\em ab initio}) simulations in the future.
