Combined systems in quantum probability
type: Item
instance of: scholarly article
title: Combined systems in quantum probability
zbMATH Open document ID: 0734.60003
DOI: 10.1007/BF00674019
published in: International Journal of Theoretical Physics
publication date: 1991-01-01T00:00:00Z
review text: A framework for quantum probability is developed, that is based on ideas of Feynman probability amplitudes, and different notions of combination of systems are studied within this framework. In particular, the horizontal sum, the direct sum and the Cartesian product of quantum probability systems are studied. The concepts of interference and independence of measurements relative to an amplitude density are introduced, and manifestations of these concepts for the various combinations are studied. Superpositions of amplitude densities are also considered, that result in unnormalized amplitudes, and the maximal superposition sets of amplitudes, called sectors, are distinguished. The superselection sector structures are explained first on finite quantum probability models and then elaborated in full generality.
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 4215027
zbMATH Keywords: combined systems
zbMATH Keywords: superselection rules
zbMATH Keywords: quantum probability
zbMATH Keywords: probability amplitudes
author: Stan Gudder
MaRDI profile type: Publication
cites work: Space-Time Approach to Non-Relativistic Quantum Mechanics
cites work: Q5569065
cites work: A theory of amplitudes
cites work: Realistic quantum probability
cites work: Amplitudes on entities
cites work: Q3714308
reviewed by: Alexander S. Holevo
description: scientific article; zbMATH DE number 4215027