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 …

A novel derivation of Feynman's sum-over-histories construction of the quantum propagator
using the groupoidal description of Schwinger picture of Quantum Mechanics is presented. It …

This paper begins the study of the relation between causality and quantum mechanics,
taking advantage of the groupoidal description of quantum mechanical systems inspired by …

The basic ingredients of the groupoid interpretation of Quantum Mechanics are discussed.
Starting with the motivation to consider measure groupoids as the appropriate statistical and …

Following the analysis we have presented in a previous paper (that we refer to as [I]), we
describe a Noether theorem related to symmetries, with the associated reduction …

We define the gauge potentials of Poisson electrodynamics as sections of a symplectic
realization of the spacetime manifold and infinitesimal gauge transformations as a …

A Lagrangian description of the qubit based on Schwinger's picture of Quantum Mechanics
that allows for a Feynman-like computation of its probability amplitudes is presented. The …

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 theory of …

Starting from the canonical symmetroid 𝒮 (G) associated with a groupoid G, the issue of
describing dynamical maps in the groupoidal approach to quantum mechanics is …

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 …