Position and momentum observables on R and on R3

DOI10.1063/1.1739296zbMath1071.81049arXivquant-ph/0403108OpenAlexW3100278416WikidataQ62561411 ScholiaQ62561411MaRDI QIDQ4833440

Teiko Heinonen, Claudio Carmeli, Alessandro Toigo

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0403108

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• On Mackey's imprimitivity theorem
• On Euclidean systems of covariance for massless particles
• Covariant fuzzy observables and coarse-graining
• Uncertainty Principles and Signal Recovery
• Systems of imprimitivity and representations of quantum mechanics on fuzzy phase spaces
• Square-integrability modulo a subgroup
• Positive operator valued measures covariant with respect to an irreducible representation
• Positive operator valued measures covariant with respect to an Abelian group