Polynomial Weyl representations

DOI10.2977/prims/1195143949zbMath0981.46026OpenAlexW2057292454MaRDI QIDQ1974545

Paul Lee Robinson

Publication date: 7 May 2000

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/1195143949

zbMATH Keywords

commutation relationFock representationsWeyl representations

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

L²(E*, μ)-WEYL REPRESENTATIONS

Cites Work

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• Quadratic representations of the canonical commutation relations
• Quasi-equivalence of quasi-free states on the Weyl algebra
• On quasifree states of the canonical commutation relations. I
• Tensor Algebras Over Hilbert Spaces. I
• Linear Symmetries of Free Boson Fields