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Observables as functions: Antonymous functions

Quantum Physics 2007-05-23 v1 Mathematical Physics math.MP Operator Algebras

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.

Cite

@article{arxiv.quant-ph/0510102,
  title  = {Observables as functions: Antonymous functions},
  author = {Andreas Doering},
  journal= {arXiv preprint arXiv:quant-ph/0510102},
  year   = {2007}
}

Comments

16 pages, no figures