activity
20092013
most citedExceptional and Non-crystallographic Root Systems and the Kochen-Specker Theorem

7 citations · 25 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2013★ 4 cited

Fluctuations of intensive quantities in statistical thermodynamics

Artur E. Ruuge

In phenomenological thermodynamics, the canonical coordinates of a physical system split in pairs with each pair consisting of an extensive quantity and an intensive one. In the pr…

math-ph2012★ 6 cited

Pauli problem in thermodynamics

Artur E. Ruuge

A thermodynamic analogue of the Pauli problem (reconstruction of a wavefunction from the position and momentum distributions) is formulated. The coordinates of a quantum system are…

quant-ph2012★ 5 cited

New Examples of Kochen-Specker Type Configurations on Three Qubits

Artur E. Ruuge

A new example of a saturated Kochen-Specker (KS) type configuration of 64 rays in 8-dimensional space (the Hilbert space of a triple of qubits) is constructed. It is proven that th…

math-ph2010★ 1 cited

Microlagrangian manifolds and quasithermodynamic fluctuations of nonequilibrium states

Artur Ruuge

The paper deals with "quantization" and "second quantization" of phenomenological thermodynamics with respect to the Boltzmann's constant. It is suggested to perceive the quasither…

math.QA2010★ 1 cited

q-Legendre Transformation: Partition Functions and Quantization of the Boltzmann Constant

Artur E. Ruuge, Freddy van Oystaeyen

In this paper we construct a q-analogue of the Legendre transformation, where q is a matrix of formal variables defining the phase space braidings between the coordinates and momen…

math-ph2009

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…

quant-ph2009★ 7 cited

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…

quant-ph2009★ 1 cited

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…

quant-ph2009

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…