98-498 S.Cavallaro, G.Morchio. F.Strocchi

A Generalization of the Stone-von Neumann Theorem to Non-Regular Representations of the CCR-Algebra (43K, TeX) Jul 9, 98

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Abstract. We give a classification, up to unitary equivalence, of the representations of the $C^*$-algebra of the Canonical Commutation Relations which generalizes the classical Stone-von Neumann Theorem to the case of representations which are strongly measurable, but not necessarily strongly continuous. The classification includes all the (non-regular) representations which have been considered in physical models.

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