We show that, under reasonable hypotheses, it is possible to study two
-body non-leptonic weak decays in numerical simulations of lattice QCD
. By assuming that final-state interactions are dominated by the nearb
y resonances and that the couplings of the resonances to the final par
ticles are smooth functions of the external momenta, it is possible in
deed to overcome the difficulties imposed by the Maiani-Testa no-go th
eorem and to extract the weak decay amplitudes, including their phases
, Under the same assumptions, results can be obtained also for time-li
ke form factors and quasi-elastic processes.