Observables as functions: Antonymous functions

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.

16 pages, no figures

References in corpus (1)

• Observables II : Quantum Observables

Cited by in corpus (2)

• A Topos Foundation for Theories of Physics: III. The Representation of Physical Quantities With Arrows
• Self-adjoint Operators as Functions I: Lattices, Galois Connections, and the Spectral Order