515 citations · 4.7k across the 212 of their papers we have counts for
218 papers
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…
The Geometry of the solution space of first order Hamiltonian field theories III: Palatini's formulation of General Relativity
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We complete the program started in two companion papers of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian fiel…
On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo +2
An extension of Cencov's categorical description of classical inference theory to the domain of quantum systems is presented. It provides a novel categorical foundation to the theo…
Groupoid and algebra of the infinite quantum spin chain
Florio Maria Ciaglia, Fabio Di Cosmo, Paolo Facchi +3
It is well known that certain features of a quantum theory cannot be described in the standard picture on a Hilbert space. In particular, this happens when we try to formally frame…
Dimensional reduction of the Dirac equation in arbitrary spatial dimensions
Davide Lonigro, Rocco Maggi, Giuliano Angelone +5
We investigate the general properties of the dimensional reduction of the Dirac theory, formulated in a Minkowski spacetime with an arbitrary number of spatial dimensions. This is…
Dimensional reduction of the Dirac theory
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi +5
We perform a reduction from three to two spatial dimensions of the physics of a spin-1/2 fermion coupled to the electromagnetic field, by applying Hadamard's method of descent. We…