ON A GENERALIZATION OF CANONICAL QUANTIZATION

DOI10.1070/IM1987v028n01ABEH000872zbMath0613.22012OpenAlexW2025381099MaRDI QIDQ3754201

Alexandr S. Holevo

Publication date: 1987

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1987v028n01abeh000872

zbMATH Keywords

symmetry groupscanonical quantizationlocalizabilitysystems of imprimitivityposition observablesunity decompositions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General quantum mechanics and problems of quantization (81S99) Induced representations for locally compact groups (22D30) Harmonic analysis on general compact groups (43A77)

Related Items (6)

Covariant localizations in the torus and the phase observables ⋮ Covariant KSGNS construction and quantum instruments ⋮ Extreme covariant observables for type I symmetry groups ⋮ Extremal covariant positive operator valued measures: The case of a compact symmetry group ⋮ Extreme covariant quantum observables in the case of an Abelian symmetry group and a transitive value space ⋮ Optimal covariant quantum measurements

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