Algebras of unbounded operators and vacuum superselection rules in quantum field theory. I. Some properties of \(Op^*\) algebras and vector states on them

DOI10.1007/BF01028511zbMath0559.47033MaRDI QIDQ2266220

V. N. Sushko, A. V. Voronin, S. S. Khoruzhij

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

representationsvector states\(Op^*\)-algebras of unbounded operatorsbounded intertwinning operatorsdescription of quantum systems with vacuum superselection rulesstrong and weak commutants of an \(Op^*\)- algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator algebras to the sciences (47L90) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (3)

Field algebras do not leave field domains invariant ⋮ Some remarks on the Gelfand–Naimark–Segal representations of topological  *-algebras ⋮ Unnamed Item

Cites Work

• On the algebra of field operators. The weak commutant and integral decompositions of states
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators

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