On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it

DOI10.1016/j.jfa.2023.109867OpenAlexW4318042271MaRDI QIDQ2684515

Andrei Iftimovici, Vladimir Georgescu

Publication date: 16 February 2023

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

Full work available at URL: https://arxiv.org/abs/1902.10026

zbMATH Keywords

quantum field theoryspectral theorycanonical commutation relations\( C^\ast \)-algebra

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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