Geometric construction of \(*\)-representations of the Weyl algebra with degree 2

DOI10.2977/PRIMS/1195162712zbMath0871.47024OpenAlexW2022108589MaRDI QIDQ679141

Hiroshi Nakazato, Hideki Kurose

Publication date: 22 April 1997

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/1195162712

zbMATH Keywords

Weyl algebraReeh-Arai's \(*\)-representationsWeyl system

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
• Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala)
• On the Canonical Commutation Relations.
• On the Relation $PQ -QP = -iI$.

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