Quantum Observables and Effect Algebras

Abstract

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

References in corpus (5)

• Sharp and fuzzy observables on effect algebras
• Blocks of homogeneous effect algebras
• Representable Effect Algebras and Observables
• Olson Order of Quantum Observables
• Sum of Observables on MV-Effect Algebras

Cited by in corpus (1)

• Sum of Observables on MV-Effect Algebras