  We determine the $N$-particle stationary states of a staggered stochastic
hopping model with reflective boundaries. It is shown that the stationary
states are in fact so-called optimum ground states. Recursion relations in the
particle number for any $l$-point density correlation function will be derived.
Furthermore, the connection between reflective boundaries and the occurrence of
optimum ground states is examined. An explicit counterexample shows that
reflective boundaries do not enforce the stationary state to be an optimum
ground state.
