Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations

DOI10.1142/S0129055X19500260zbMath1476.81066OpenAlexW2921457384MaRDI QIDQ5208851

Asao Arai

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.1142/s0129055x19500260

zbMATH Keywords

canonical commutation relationsboson Fock spaceinequivalent representationsingular Bogoliubov transformation

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• The Casimir effect from the point of view of algebraic quantum field theory
• Enhanced Binding in Quantum Field Theory
• Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
• Linear Symmetries of Free Boson Fields
• A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory

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