Coupling of quantum logics
type: Item
instance of: scholarly article
title: Coupling of quantum logics
zbMATH Open document ID: 0538.06011
DOI: 10.1007/BF02114666
published in: International Journal of Theoretical Physics
publication date: 1983-01-01T00:00:00Z
review text: A tensor product in the category of quantum logics is defined (a quantum logic is, by definition, a couple (L,M), where L is a \(\sigma\)- ortholattice and M is a quite full set of states, i.e., probability measures, on L) and some properties of this tensor product are established. Also, a comparison of this definition of the tensor product with that of the free orthodistributive product of \(\sigma\)- ortholattices, proposed by Matolcsi in 1975, is given.
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 03G15
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06B05
zbMATH DE Number: 3855180
zbMATH Keywords: tensor product
zbMATH Keywords: quantum logics
zbMATH Keywords: \(\sigma\)-ortholattice
zbMATH Keywords: free orthodistributive product
author: Sylvia Pulmannová
MaRDI profile type: Publication
cites work: Complete Sets of Observables and Pure States
cites work: A Superposition Principle in Physics
cites work: On states on the product of logics
cites work: Q5537293
cites work: On the coupling of logics
cites work: Nonlinear boundary value problems in Banach spaces for multivalue differential equations on a non-compact interval
full work available at URL: https://doi.org/10.1007/bf02114666
OpenAlex ID: W2027661703
description: scientific article; zbMATH DE number 3855180