7 citations · 25 across the 9 of their papers we have counts for
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Distortion of the Poisson Bracket by the Noncommutative Planck Constants
Artur E. Ruuge, Freddy van Oystaeyen
In this paper we introduce a kind of "noncommutative neighbourhood" of a semiclassical parameter corresponding to the Planck constant. This construction is defined as a certain fil…
Exceptional and Non-crystallographic Root Systems and the Kochen-Specker Theorem
Artur Ruuge
The Kochen-Specker theorem states that a 3-dimensional complex Euclidean space admits a finite configuration of projective lines such that the corresponding quantum observables (th…
Non-bicolourable Finite Configurations of Rays and Their Deformations
Artur Ruuge
A new infinite family of examples of finite non-bicolorable configurations of rays in Hilbert space is described. Such configurations appear in the analysis of quantum mechanics in…
New Families of Finite Coherent Orthoalgebras without Bivaluations
Artur Ruuge, Fred Van Oystaeyen
In the present paper we study the following problem: how to construct a coherent orthoalgebra which has only a finite number of elements, but at the same time does not admit a biva…