Observables, states, and symmetries in the context of CB-effect algebras

The purpose of this article is to advance the following proposition: Corresponding to a class of physical systems that are subject to experimental investigation and that admit a common physical theory is a so-called CB-effect algebra which, in a natural way, hosts the main ingredients of the physica...

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Bibliographic Details
Published inReports on mathematical physics Vol. 60; no. 2; pp. 329 - 346
Main Author Foulis, David J.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2007
Subjects
03.65.Ta
Boolean algebra
Borel observable
CB-effect algebra
compression base
conditioned state
effect algebra
effect-algebra morphism
monotone σ-complete
observable
POV-rneasure
probability measure
state
symmetry
σ-observable
σ-state
Borel observable
σ-state
monotone σ-complete
conditioned state
POV-rneasure
probability measure
Boolean algebra
CB-effect algebra
effect algebra
symmetry
03.65.Ta
observable
effect-algebra morphism
state
σ-observable
compression base
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ISSN0034-4877
DOI10.1016/S0034-4877(07)80143-1

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Summary:The purpose of this article is to advance the following proposition: Corresponding to a class of physical systems that are subject to experimental investigation and that admit a common physical theory is a so-called CB-effect algebra which, in a natural way, hosts the main ingredients of the physical theory, namely observables, states, and symmetries.
ISSN:0034-4877
DOI:10.1016/S0034-4877(07)80143-1