11 citations · 22 across the 7 of their papers we have counts for
8 papers
Fields of covariances on non-commutative probability spaces in finite dimensions
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo
We introduce the notion of a field of covariances, a contravariant functor from non-commutative probability spaces to Hilbert spaces, as a categorical analogue of statistical covar…
The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fabio Di Cosmo, Vladislav G. Kupriyanov, Patrizia Vitale
We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in ter…
Jacobi algebroids and Jacobi sigma models
Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski
The definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to \emph{Jacobi bundles}, i.e., Lie brackets on sections…
Symplectic realizations and Lie groupoids in Poisson Electrodynamics
Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo +1
We define the gauge potentials of Poisson electrodynamics as sections of a symplectic realization of the spacetime manifold and infinitesimal gauge transformations as a representat…
Schrödinger's problem with cats: measurements and states in the Groupoid Picture of Quantum Mechanics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1
Schrödinger's famous Gedankenexperiment involving a cat is used as a motivation to discuss the evolution of states of the composition of classical and quantum systems in the groupo…
On -invariant self-adjoint extensions of the Laplacian on quantum circuits
A. Balmaseda, F. Di Cosmo, J. M. Pérez-Pardo
An analysis of the invariance properties of self-adjoint extensions of symmetric operators under the action of a group of symmetries is presented. For a given group , criteria f…
A Hodge - De Rham Dirac operator on the quantum
Fabio Di Cosmo, Giuseppe Marmo, Juan Manuel Pérez-Pardo +1
We describe how it is possible to describe irreducible actions of the Hodge - de Rham Dirac operator upon the exterior algebra over the quantum spheres equipped wit…
Some Notes on Dirac operators on the and spheres
Fabio Di Cosmo, Alessandro Zampini
We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres and , following the formalism introduced by Kähler, and exhibit a co…