Lattice operations between observables in axiomatic quantum mechanics
type: Item
instance of: scholarly article
title: Lattice operations between observables in axiomatic quantum mechanics
zbMATH Open document ID: 0584.03043
DOI: 10.1007/BF00671335
published in: International Journal of Theoretical Physics
publication date: 1985-01-01T00:00:00Z
review text: Treating observables as \(\sigma\)-homomorphisms of the Borel sets of the real line into an orthomodular \(\sigma\)-lattice L, the author introduces meet and join operations among them in terms of corresponding spectral resolutions, showing that 1) they form a lattice in case L is \(\sigma\)- continuous, and 2) given a set of commuting observables, all its polynomials form a lattice.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 3935037
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: spectral resolutions
author: Dietmar Dorninger
reviewed by: Hirokazu Nishimura
MaRDI profile type: Publication
cites work: Q3875978
cites work: Q5537293
description: scientific article; zbMATH DE number 3935037