Dell’Antonio, C.-F.; Doplicher, S.; Ruelle, D. A theorem on canonical commutation and anticommutation relations. (English) Zbl 0178.58001 Commun. Math. Phys. 2, No. 4, 223-230 (1966). Summary: The aim of this note is to characterize representations of the canonical commutation or anticommutation relations which, on a subspace of the “space of test-functions”, reduce to a sum of copies of the Fock representation. Page: −5 −4 −3 −2 −1 ±0 +1 +2 Show Scanned Page Cited in 19 Documents MSC: 81S05 Commutation relations and statistics as related to quantum mechanics (general) Keywords:quantum theory PDFBibTeX XMLCite \textit{C. F. Dell'Antonio} et al., Commun. Math. Phys. 2, No. 4, 223--230 (1966; Zbl 0178.58001) Full Text: DOI References: [1] Araki, H., andE. J. Woods: J. Math. Phys.4, 637 (1963). · doi:10.1063/1.1704002 [2] —-, andW. Wyss: Helv. Phys. Acta37, 136 (1964). [3] Dixmier, J.: LesC*-algèbres et leurs représentations. Paris: Gauthier-Villars 1964. [4] Gårding, L., andA. Wightman: Proc. Nat. Acad. Sci.40, 617 (1954);40, 622 (1954). · Zbl 0057.09603 · doi:10.1073/pnas.40.7.617 [5] Lew, J. S.: Thesis, Princeton 1960 (unpublished). [6] Ruelle, D.: Lecture notes of the summer school of theoretical physics. Cargèse, Coisica. July 1965. [7] Wightman, A. S., andS. S. Schweber: Phys. Rev.98, 812 (1955). · Zbl 0068.22602 · doi:10.1103/PhysRev.98.812 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.