Quantum Observables and Effect Algebras
classification
🧮 math-ph
math.MPmath.RA
keywords
completeeffectmonotonesigmaalgebrasobservablesadditionalgebra
read the original 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.
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