Canonical linear transformation on Fock space with an indefinite metric

DOI10.2977/prims/1195189075zbMath0405.47021OpenAlexW2010809394MaRDI QIDQ5906177

Keiichi Ito

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189075

zbMATH Keywords

0-Unitarily ImplementableCannonical Linear TransformationsFock Space with An Indefinite MetricMass-Shift ModelTime-Evolution of the System By the Model HamiltonianWeakly 0-Unitarily Implementable

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Constructive quantum field theory (81T08) Linear operators on spaces with an indefinite metric (47B50)

Related Items (7)

On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality ⋮ An explicit realization of a GNS representation in a Krein-space ⋮ MASS RENORMALIZATION IN NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS WITH SPIN ½ ⋮ On the cones of \(\alpha\) and generalized \(\alpha\)-positivity for quantum field theories with indefinite metric ⋮ Eliminating unphysical photon components from Dirac-Maxwell Hamiltonian quantized in the Lorenz gauge ⋮ On the GNS representation of generalized free fields with indefinite metric ⋮ On a pathology in indefinite metric inner product space

Cites Work

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• An inequality among determinants
• A CERTAIN OPERATOR ALGEBRA IN AN INDEFINITE INNER PRODUCT SPACE
• Linear Symmetries of Free Boson Fields
• On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation
• Quadratic Expressions in a Free Boson Field

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