Some particle representations of the canonical commutation relations

DOI10.1016/0034-4877(88)90035-3zbMath0665.46055OpenAlexW1978202581MaRDI QIDQ1116055

Reinhard Schaflitzel

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90035-3

zbMATH Keywords

canonical commutation relationsregular representationdirect integralparticle representationnumber operator in the sense of Chaikenphase displacement

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Primitive ideals in enveloping algebras
• Number operators for representations of the canonical commutation relations
• Direct-Product Representations of the Canonical Commutation Relations
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