62 citations · 391 across the 31 of their papers we have counts for
7 papers · 1 filter
The beat of a fuzzy drum: fuzzy Bessel functions for the disc
Fedele Lizzi, Patrizia Vitale, Alessandro Zampini
The fuzzy disc is a matrix approximation of the functions on a disc which preserves rotational symmetry. In this paper we introduce a basis for the algebra of functions on the fuzz…
Applications of the Weyl-Wigner formalism to noncommutative geometry
Alessandro Zampini
In this dissertation the Weyl-Wigner approach is presented as a map between functions on a real cartesian symplectic vector space and a set of operators on a Hilbert space, to anal…
Noncommutative differential calculus for Moyal subalgebras
G. Marmo, P. Vitale, A. Zampini
We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction.…
From the fuzzy disc to edge currents in Chern-Simons Theory
F. Lizzi, P. Vitale, A. Zampini
We present a brief review of the fuzzy disc, the finite algebra approximating functions on a disc, which we have introduced earlier. We also present a comparison with recent papers…
The Fuzzy Disc
F. Lizzi, P. Vitale, A. Zampini
We introduce a finite dimensional matrix model approximation to the algebra of functions on a disc based on noncommutative geometry. The algebra is a subalgebra of the one characte…
Generalized Weyl systems and kappa-Minkowski space
Alessandra Agostini, Fedele Lizzi, Alessandro Zampini
We introduce the notion of generalized Weyl system, and use it to define *-products which generalize the commutation relations of Lie algebras. In particular we study in a comparat…