Transition amplitude spaces and quantum logics with vector-valued states
type: Item
instance of: scholarly article
title: Transition amplitude spaces and quantum logics with vector-valued states
zbMATH Open document ID: 0704.03045
DOI: 10.1007/BF00673934
author: Sylvia Pulmannová
published in: International Journal of Theoretical Physics
publication date: 1990-01-01T00:00:00Z
review text: In the present paper, the relationship between transition amplitude spaces [see \textit{S. Gudder} and \textit{S. Pulmannová}, J. Math. Phys. 28, 2393-2399 (1987; Zbl 0646.46073)] (i.e. spaces which are near to Hilbert spaces) and quantum logics with quite rich sets of vector-valued states is investigated.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 46N50
zbMATH DE Number: 4154446
zbMATH Keywords: transition amplitude spaces
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: vector-valued states
reviewed by: Anatolij Dvurečenskij
MaRDI profile type: Publication
cites work: Transition probability spaces
cites work: Q3952094
cites work: Quantum logics derived from asymmetric Mielnik forms
cites work: Q3881378
cites work: Realistic quantum probability
cites work: Transition amplitude spaces
cites work: Geometry of quantum states
cites work: Theory of filters
cites work: Functional properties of transition probability spaces
cites work: Geometric properties of transition amplitude spaces
cites work: Q3702812
full work available at URL: https://doi.org/10.1007/bf00673934
OpenAlex ID: W2170437217
description: scientific article; zbMATH DE number 4154446