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• W2063191504 abstract "We give simple representations for quantum theories in which the 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 in a 2+1 dimensional model in which the non commutation relations concern positions only. An interpretation of the wave function in this non commutative geometry is suggested. We also analyze higher dimensional cases. A possible incidence on the causality issue for a Q.F.T with a non commuting time is sketched." @default.
• W2063191504 created "2016-06-24" @default.
• W2063191504 creator A5060687092 @default.
• W2063191504 date "2002-02-21" @default.
• W2063191504 modified "2023-10-02" @default.
• W2063191504 title "Maximally localized states and causality in noncommutative quantum theories" @default.
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• W2063191504 doi "https://doi.org/10.1103/physrevd.65.066003" @default.
• W2063191504 hasPublicationYear "2002" @default.
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