Smearing of observables and spectral measures on quantum structures

DOI10.1007/s10701-012-9689-xzbMath1270.81012arXiv1204.6486OpenAlexW2073577168MaRDI QIDQ2393116

Anatolij Dvurečenskij

Publication date: 7 August 2013

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

Full work available at URL: https://arxiv.org/abs/1204.6486

zbMATH Keywords

observablestatespectral measureeffect algebraRiesz decomposition propertyeffect-tribeLoomis-Sikorski Theoremmonotone \(\sigma \)-completenesssmearing of observables

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (4)

Remarks on effect-tribes ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ Factorization of observables ⋮ On probability domains IV

Cites Work

• Representation of states on effect-tribes and effect algebras by integrals
• Effect algebras and unsharp quantum logics.
• Observables on quantum structures
• Tensor products and the Loomis-Sikorski theorem for MV-algebras
• Sharp and fuzzy observables on effect algebras
• Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras
• Spectral resolutions in Dedekind \(\sigma\)-complete \(\ell\)-groups
• Blocks of homogeneous effect algebras
• Algebraic Analysis of Many Valued Logics
• Central elements and Cantor-Bernstein's theorem for pseudo-effect algebras
• Compatibility and decompositions of effects
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