Maximally localized states and causality in non commutative quantum theories

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Abstract
We give simple representations of the operator algebra of quantum theories whose position commutators are non vanishing constants. A particular representation reproduces results found using the Moyal star product. The notion of exact localization being meaningless in these theories, we adapt the notion of ``maximally localized states'' developed in another context . We find that gaussian functions play this role here. An interpretation of the wave function in these non commutative geometries is suggested and a possible incidence on the causality issue for a Q.F.T with a non commutative time is sketched.

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