Zobrazeno 1 - 10
of 654
pro vyhledávání: '"Marmo, Giuseppe"'
We construct the vector field associated with the GKLS generator for systems described by Gaussian states. This vector field is defined on the dual space of the algebra of operators, restricted to operators quadratic in position and momentum. It is s
Externí odkaz:
http://arxiv.org/abs/2405.10282
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 395204 (31pp)
If $\eta$ is a contact form on a manifold $M$ such that the orbits of the Reeb vector field form a simple foliation $\mathcal{F}$ on $M$, then the presymplectic 2-form $d\eta$ on $M$ induces a symplectic structure $\omega$ on the quotient manifold $N
Externí odkaz:
http://arxiv.org/abs/2404.19560
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:
Lonigro, Davide, Maggi, Rocco, Angelone, Giuliano, Ercolessi, Elisa, Facchi, Paolo, Marmo, Giuseppe, Pascazio, Saverio, Pepe, Francesco V.
Publikováno v:
Eur. Phys. J. Plus 138 (2023), 324
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 done by applying Hadamard's method of descent, which consists in conce
Externí odkaz:
http://arxiv.org/abs/2212.11965
Autor:
Angelone, Giuliano, Ercolessi, Elisa, Facchi, Paolo, Lonigro, Davide, Maggi, Rocco, Marmo, Giuseppe, Pascazio, Saverio, Pepe, Francesco V.
Publikováno v:
J. Phys. A: Math. Theor. 56 (2023), 065201
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 consider first the free case, in which motion is determined by the Dir
Externí odkaz:
http://arxiv.org/abs/2211.08581
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