Unitary equivalence of Fock representations on the Weyl algebra

DOI10.1007/BF01646623zbMath0208.38301OpenAlexW2051188579MaRDI QIDQ2543726

Alfons Van Daele, André F. Verbeure

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1007/bf01646623

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

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Squeezing Bogoliubov transformations on the infinite mode CCR-algebra, Singular integrals in quantum Euclidean spaces, Representation theory of \(U_ 1(H)\) in the symmetric tensors, A geometrical approach to external potential problems in quantum field theory, Complex structure and external fields, Classical entropy of quasi-free states, Quasi-free photon states and the Poincaré group, Quantum fields in curved spacetime, Projective unitary representations of infinite-dimensional Lie groups, Markov property of Gaussian states of canonical commutation relation algebras, GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS, Symplectic groups and the Klein-Gordon field, Transition probabilities between quasifree states, Quasi-equivalence of quasi-free states on the Weyl algebra, Representations of the CCR in the \((\phi^ 4)_ 3\) model: Independence of space cutoff, Unitary implementations of one-parameter squeezing groups, The operator quantization of the open bosonic string: Field algebra

Cites Work

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• The \(C^ *\)-algebras of a free Boson field
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• Free states of the canonical anticommutation relations
• Nets of \(C^*\)-algebras and classification of states
• REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS