English

Quantum Observables and Effect Algebras

Mathematical Physics 2017-12-06 v1 math.MP Rings and Algebras

Abstract

We study observables on monotone σ\sigma-complete effect algebras. We find conditions when a spectral resolution implies existence of the corresponding observable. The set of sharp elements of a monotone σ\sigma-complete homogeneous effect algebra is a monotone σ\sigma-complete subalgebra. In addition, we study compatibility in orthoalgebras.

Keywords

Cite

@article{arxiv.1609.06691,
  title  = {Quantum Observables and Effect Algebras},
  author = {Anatolij Dvurečenskij},
  journal= {arXiv preprint arXiv:1609.06691},
  year   = {2017}
}
R2 v1 2026-06-22T15:57:01.287Z