Olson Order of Quantum Observables
Logic
2016-08-24 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
Using ideas of Olson \cite{Ols} who showed that the system of effect operators of a Hilbert space can be ordered by the so-called spectral order such that the system of effect operators is a complete lattice. Using his ideas, we introduce a partial order, called the Olson order, on the set of bounded observables of a complete lattice effect algebra. We show that the set of bounded observables is a Dedekind complete lattice.0
Keywords
Cite
@article{arxiv.1604.01621,
title = {Olson Order of Quantum Observables},
author = {Anatolij Dvurečenskij},
journal= {arXiv preprint arXiv:1604.01621},
year = {2016}
}