On representations of canonical commutation relations in indefinite metric quantum field theory

DOI10.1016/0034-4877(85)90007-2zbMath0611.47028OpenAlexW2070251715MaRDI QIDQ1087808

Lech Jakóbczyk

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90007-2

zbMATH Keywords

non-standard positive definitenessRepresentations of the abstract algebra of CCR in indefinite inner product space

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Spontaneous emission can locally create quantum discord out of classical correlations ⋮ Canonical quantization with indefinite inner product

Cites Work

• The smallest C\(^*\)-algebra for canonical commutation relations
• Self-adjoint algebras of unbounded operators
• Geometry of indefinite-metric spaces
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