Covariant observables on a nonunimodular group

DOI10.1016/J.JMAA.2005.12.016zbMath1107.43007arXivmath-ph/0601003OpenAlexW1980730384MaRDI QIDQ855656

Jukka Kiukas

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0601003

zbMATH Keywords

Radon-Nikodým propertycovariant observablepositive operator measure

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Applications of functional analysis in quantum physics (46N50) Representations of group algebras (22D20)

Related Items (4)

Quantum harmonic analysis on locally compact groups ⋮ Covariant KSGNS construction and quantum instruments ⋮ Convolutions for Berezin quantization and Berezin-Lieb inequalities ⋮ Affine quantum harmonic analysis

Cites Work

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• Covariant measurements and uncertainty relations
• On the regular representation of a nonunimodular locally compact group
• The theory of symmetry actions in quantum mechanics. With an application to the Galilei group
• Normal covariant quantization maps
• Group theoretical quantum tomography
• Quantum harmonic analysis on phase space
• Positive operator valued measures covariant with respect to an irreducible representation

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