  We formulate a lattice Hamiltonian model for intermediate energy heavy ion
collisions. Our approach incorporates a momentum-dependent nuclear mean field
that yields an optical potential that agrees with proton-nucleus experiments
and that also receives support from measurements involving heavy ions. We
emphasize the precision of our numerical results in connection with energy and
momentum conservation. We first outline the static properties of our solutions,
after which we consider recent stopping power results for heavy ion collisions.
The results obtained with different types of nuclear mean fields are compared
with each other. Consequences of the stopping power data on the nuclear
equation of state are outlined.
