Coexistent observables and effects in quantum mechanics
type: Item
instance of: scholarly article
title: Coexistent observables and effects in quantum mechanics
zbMATH Open document ID: 0909.46064
DOI: 10.1016/S0034-4877(97)89752-2
author: Sylvia Pulmannová
author: Pekka Lahti
published in: Reports on Mathematical Physics
publication date: 1999-04-08T00:00:00Z
review text: The paper shows that a pair of coexistent observables [in the sense of \textit{G. Ludwig}, ``Foundations of quantum mechanics I.'', Berlin (1983; Zbl 0509.46057)], which can be expressed as a function of a third observable, is characterized in terms of positive operator bimeasures and joint measures. Further, a characterization of sets of coexistent obervables has been given in terms of families of nonorthogonal resolutions of identity.
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 46G10
zbMATH DE Number: 1091054
zbMATH Keywords: coexistent observables
zbMATH Keywords: positive operator bimeasures
zbMATH Keywords: joint measures
zbMATH Keywords: families of nonorthogonal resolutions of identity
reviewed by: Pawel Kruszynski
MaRDI profile type: Publication
cites work: Q4169795
cites work: Q4747069
cites work: Q3962015
cites work: States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
cites work: Operational Quantum Physics
cites work: Positive operator bimeasures and a noncommutative generalization
cites work: Difference posets, effects, and quantum measurements
cites work: Q5513435
cites work: Partial order of quantum effects
cites work: Q3702812
full work available at URL: s0034-4877(97)89752-2
OpenAlex ID: W2064669483
description: scientific article; zbMATH DE number 1091054