Quasi-free photon states and the Poincaré group

DOI10.1007/BF01961238zbMath0498.46059MaRDI QIDQ1171259

W. J. M. A. Hochstenbach

Publication date: 1982

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

zbMATH Keywords

first cohomology groupquantum electrodynamicsGNS constructionPoincare groupWeyl systemstrongly continuous unitary representationclasses of sectors containing coherent statesFock sectorPoincare covariant representationprojectively covariantquasi-free states on the quantized free electromagnetic field

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of Lie groups to the sciences; explicit representations (22E70) Miscellaneous applications of functional analysis (46N99)

Cites Work

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• Generalized free fields and models of local field theory
• A note on coherent states
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• On the product form of quasi-free states
• Coherent photon states and spectral condition
• Unitary equivalence of Fock representations on the Weyl algebra
• Quasi-equivalence of quasi-free states on the Weyl algebra
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• Weak Containment and Induced Representations of Groups
• Some Notes on Multiple-Boson Processes

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