We study maps preserving the Heisenberg commutation relation ab − ba = 1. We find a one-parameter deformation of the standard realization of the above algebra in terms of a coordinate and its dual derivative. It involves a non-local “coordinate” operator while the dual “derivative” is just the Jackson finite-difference operator. Substitution of this realization into any differential operator in...

This paper addresses the following problem: Given a onedimensional cellular automata (CAl defined over Z2 with a rule represented by an operat or X , determine all one-dimensional rules over Z2 which commute with X . It is shown th at the set of all such rules is given by th e solut ion set of a system of nonlinear Diophantine equations. This result is generalized to cover cellular automata who...

In this paper, a new method is proposed for the speed control of a three-phase current forced synchronous machine drive. This metohd is based on the use of an approximate constant commutation safety margin angle in the output thyristor bridge of the drive system as well as on the compenastion of stator magnetization reaction. The commutation process in the output converter of the machine driv...

We study commutation properties of subsets of right-angled Artin groups and trace monoids. We show that if Γ is any graph not containing a four-cycle without chords, then the group G(Γ) does not contain four elements whose commutation graph is a four-cycle; a consequence is that G(Γ) does not have a subgroup isomorphic to a direct product of non-abelian free groups. We also obtain corresponding...

We have expressed the tensor commutation matrix n ⊗ n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3 ⊗ 2 and 2 ⊗ 3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use,...

A construction 1 of master field describing multicolour QCD is presented. The master fields for large N matrix theories satisfy to standard equations of relativistic field theory but fields are quantized according q-deformed commutation relations with q = 0. These commutation relations are realized in the Boltzmannian Fock space. The master field for gauge theory does not take values in a finit...

We consider quon statistics in a dynamically evolving curved spacetime in which prior to some initial time and subsequent to some later time is flat. By considering the Bogoliubov transformations associated with gravitationally induced particle creation, we find that the consistent evolution of the generalized commutation relations from the first flat region to the second flat region can only o...