Quantization and the resolvent algebra

DOI10.1016/j.jfa.2019.02.022zbMath1432.46052arXiv1903.04819OpenAlexW2921717884MaRDI QIDQ2317987

Teun D. H. van Nuland

Publication date: 13 August 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04819

zbMATH Keywords

\(C^*\)-algebradeformation quantizationFock spaceGelfand spectrum

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (6)

Strict deformation quantization of abelian lattice gauge fields ⋮ Noncompact uniform universal approximation ⋮ Resolvent algebra in Fock-Bargmann representation ⋮ The basic resolvents of position and momentum operators form a total set in the resolvent algebra ⋮ Injective tensor products in strict deformation quantization ⋮ Extensions of bundles of C*-algebras

Cites Work

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• The resolvent algebra: A new approach to canonical quantum systems
• An obstruction to quantization of the sphere
• Deformation quantization for Hilbert space actions
• Field-theoretic Weyl quantization as a strict and continuous deformation quantization
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Harmonic Analysis in Phase Space. (AM-122)
• Deformation quantization for actions of 𝑅^{𝑑}

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