Observables as functions: Antonymous functions
classification
🪐 quant-ph
math-phmath.MPmath.OA
keywords
functionsantonymousobservablesalgebracorrespondgelfandgeneralizedgroote
read the original abstract
Antonymous functions are real-valued functions on the Stone spectrum of a von Neumann algebra R. They correspond to the self-adjoint operators in R, which are interpreted as observables in quantum physics. Antonymous functions turn out to be generalized Gelfand transforms, related to de Groote's observable functions.
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