A generalization of the Stone-von Neumann theorem to nonregular representations of the CCR-algebra

DOI10.1023/A:1007599222651zbMath0934.46058MaRDI QIDQ1301782

Stefano Cavallaro, Franco Strocchi, Giovanni Morchio

Publication date: 25 April 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger representationStone-von Neumann uniqueness theoremCCR-algebraGNS theoremmomentum statesZac states

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) States of selfadjoint operator algebras (46L30)

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