Maximally localized states and causality in non commutative quantum theories

  • M . Lubo

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. E-mail muso@umhsp02. umh. ac. be

Cite this paper

@inproceedings{LuboMaximallyLS, title={Maximally localized states and causality in non commutative quantum theories}, author={M . Lubo} }