A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory

DOI10.1142/S0129055X16500070zbMath1342.81624MaRDI QIDQ5739297

Asao Arai

Publication date: 15 July 2016

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

zbMATH Keywords

canonical commutation relationsquantum fieldboson Fock spaceinequivalent representationWeyl representationtime-zero field

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Representations of topological algebras (46H15)

Related Items (1)

Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations

Cites Work

• Linear Symmetries of Free Boson Fields
• Introduction
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