A countable set of commuting self-adjoint operators and the algebra of local observables

DOI10.1007/BF01085667zbMath0466.47025OpenAlexW2060405437MaRDI QIDQ1155232

V. I. Kolomytsev, Yurii S. Samoilenko

Publication date: 1980

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085667

zbMATH Keywords

algebra of local observablescommuting self-adjoint operatorssimple joint spectrum

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Functional calculus for linear operators (47A60) Axiomatic quantum field theory; operator algebras (81T05) Quantum equilibrium statistical mechanics (general) (82B10)

Cites Work

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• The form of representations of the canonical commutation relations for Bose fields and connection with finetely many degrees of freedom
• Gibbs States on Countable Sets
• Direct-Product Representations of the Canonical Commutation Relations
• Produits tensoriels infinis et représentations des relations d'anticommutation
• REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS
• REPRESENTATIONS OF THE COMMUTATION RELATIONS

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