Algebras of unbounded operators and vacuum superselection rules in quantum field theory. II. Mathematical structure of vacuum superselection rules

DOI10.1007/BF01017886zbMath0599.47074MaRDI QIDQ1080156

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

Publication date: 1984

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

zbMATH Keywords

algebraic structure of quantum-field systems with vacuum superselection rulesdiscreteness of the decomposition of the generating Wightman functional with respect to pure statesexistence of a discrete decomposition of the Hilbert space space into an orthogonal sum of vacuum superselection sectorsWightman axiomatics

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) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Some unbounded commutants of a set of operators on a partial inner product space

Cites Work

• Unnamed Item
• On the algebra of field operators. The weak commutant and integral decompositions of states
• A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I
• On the structure of the algebra of field operators. II
• On te Algebra of All Local Observables
• On structure of the algebra of field operators
• On the self-adjointness of field operators

This page was built for publication: Algebras of unbounded operators and vacuum superselection rules in quantum field theory. II. Mathematical structure of vacuum superselection rules