We study glueball and meson scattering in compact QED2+1 gauge theory
in a Hamiltonian formulation on a momentum lattice. We compute ground
state energy and mass, and introduce a compact lattice momentum operat
or for the computation of dispersion relations. Using a non-perturbati
ve time-dependent method we compute scattering cross sections for glue
balls and mesons. We compare our results with strong coupling perturba
tion theory.