Implementation of automorphism groups in certain representations of the canonical commutation relations

DOI10.1063/1.525311zbMath0504.46051OpenAlexW1975416091MaRDI QIDQ4741230

Henry A. Warchall

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525311

zbMATH Keywords

automorphism groupcanonical commutation relationsFock representationinvariant statesBogolubov transformationsC*-algebraic quantum field theoryexistence of a second-quantized self- adjoint generatorunitary implementability of one-parameter unitary groups of one-particle automorphisms of the CCR algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (3)

C*-algebraic scattering theory and explicitly solvable quantum field theories ⋮ Unitary implementations of one-parameter squeezing groups ⋮ Enlarged test-function spaces for the global free folia dynamics on the CCR-algebra

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