Jauch-Piron logics with finiteness conditions
type: Item
instance of: scholarly article
title: Jauch-Piron logics with finiteness conditions
zbMATH Open document ID: 0728.03034
DOI: 10.1007/BF00672890
author: Vladimír Rogalewicz
published in: International Journal of Theoretical Physics
publication date: 1991-01-01T00:00:00Z
review text: The author proves that an orthomodular poset representing a quantum physical system (i.e. non-Boolean and with a full set of Jauch-Piron states) has to have infinitely many blocks (maximal Boolean subalgebras). This generalizes results of \textit{G. T. Rüttimann} [J. Math. Phys. 18, 189-193 (1977; Zbl 0388.03025)] and \textit{L. J. Bunce, M. Navara, P. Pták} and \textit{J. D. M. Wright} [Q. J. Math., Oxford, II. Ser. 36, 261- 271 (1985; Zbl 0585.03038)].
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 4202256
zbMATH Keywords: orthomodular poset
zbMATH Keywords: quantum physical system
zbMATH Keywords: Jauch-Piron states
reviewed by: Josef Tkadlec
MaRDI profile type: Publication
cites work: Some Finiteness Conditions for Orthomodular Lattices
cites work: Orthomodular Lattices Which can be Covered by Finitely Many Blocks
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cites work: Q5551052
cites work: On states on the product of logics
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cites work: Q4100556
cites work: Jauch–Piron states
cites work: A characterization of state spaces of orthomodular lattices
full work available at URL: https://doi.org/10.1007/bf00672890
OpenAlex ID: W1966012744
description: scientific article; zbMATH DE number 4202256