Zobrazeno 1 - 10
of 147
pro vyhledávání: '"IBORT, ALBERTO"'
We define the gauge potentials of Poisson electrodynamics as sections of a symplectic realization of the spacetime manifold and infinitesimal gauge transformations as a representation of the associated Lie algebroid acting on the symplectic realizati
Externí odkaz:
http://arxiv.org/abs/2312.16308
Publikováno v:
Modern Physics Letters A, 2023
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 quantum information that embraces both classical and quantum inf
Externí odkaz:
http://arxiv.org/abs/2309.10428
Autor:
Ciaglia, Florio Maria, Di Cosmo, Fabio, Facchi, Paolo, Ibort, Alberto, Konderak, Arturo, Marmo, Giuseppe
Publikováno v:
Journal of Geometry and Physics, Volume 191, 2023
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 quantum field theory, or a thermodynamic system with finite density
Externí odkaz:
http://arxiv.org/abs/2302.01050
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
We go on with the program started in the companion paper [CDI+] of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian field theories. The case of non-Abelian gauge theories is addresse
Externí odkaz:
http://arxiv.org/abs/2208.14155
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equations of motions of first order Hamiltonian field theories. The cases of Hamiltonian mechanical point systems (as a (0 + 1)-dimensional field) and mor
Externí odkaz:
http://arxiv.org/abs/2208.14136
Publikováno v:
Information Geometry, Special Issue: Half a Century of Information Geometry, 2023
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold $(\mathcal{N},G)$ endowed with a teleparallel connection $\nabla$ determined by a choice of a global basis of vector fields on $\mathcal{N}$, we show that the $G$-dual connec
Externí odkaz:
http://arxiv.org/abs/2207.08694
Starting from the canonical symmetroid $\mathcal{S}(G)$ associated with a groupoid $G$, the issue of describing dynamical maps in the groupoidal approach to Quantum Mechanics is addressed. After inducing a Haar measure on the canonical symmetroid $\m
Externí odkaz:
http://arxiv.org/abs/2205.06734
Publikováno v:
Journal of Physics A: Mathematics and Theoretical, Vlume 55, Number 27, 2022
In this paper the problem of tomographic reconstruction of states is investigated within the so-called Schwinger's picture of Quantum Mechanics in which a groupoid is associated with every quantum system. The attention is focused on spin tomography:
Externí odkaz:
http://arxiv.org/abs/2205.00170
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
Publikováno v:
Symmetry, Volume 14, Number 1, 2022
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the momentum map determined by any symmetry group of transformations. Gaug
Externí odkaz:
http://arxiv.org/abs/2111.13066
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
Publikováno v:
Modern Physics Letters, 36 (26) 2150187 (2021)
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 is shown that such construction corresponds to the GNS representatio
Externí odkaz:
http://arxiv.org/abs/2109.05756