36 citations · 61 across the 5 of their papers we have counts for
6 papers · 1 filter
Observables IV: The presheaf perspective
Hans F. de Groote
In this fourth of our series of papers on observables we show that one can associate to each von Neumann algebra R a pair of isomorphic presheaves, the upper presheaf O^{+}_{R} and…
Observables II : Quantum Observables
Hans F. de Groote
In this work we discuss the notion of observable - both quantum and classical - from a new point of view. In classical mechanics, an observable is represented as a function (measur…
Observables I: Stone Spectra
Hans F. de Groote
In this work we discuss the notion of observable - both quantum and classical - from a new point of view. In classical mechanics, an observable is represented as a function (measur…
Observables
Hans F. de Groote
This is the extended version of a talk presented at the J.W.Goethe Universitaet Frankfurt a. M. and at the same time a preview at a forthcoming extensive publication on the same su…
On a canonical lattice structure on the effect algebra of a von Neumann algebra
Hans F. de Groote
Let R be a von Neumann algebra acting on a Hilbert space H and let R_sa be the set of selfadjoint elements of R. It is well known that R_sa is a lattice with respect to the usual p…
Quantum Sheaves - An Outline of Results
Hans F. de Groote
In this paper we start with the development of a theory of presheaves on a lattice, in particular on the quantum lattice $\LL(\kH)$ of closed subspaces of a complex Hilbert space $…