  This paper considers states on the Weyl algebra of the canonical commutation
relations over the phase space R^{2n}. We show that a state is regular iff its
classical limit is a countably additive Borel probability measure on R^{2n}. It
follows that one can "reduce" the state space of the Weyl algebra by altering
the collection of quantum mechanical observables so that all states are ones
whose classical limit is physical.
