28 citations · 247 across the 36 of their papers we have counts for
7 papers · 1 filter
Hamilton-Jacobi Theory and Information Geometry
Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo
Recently, a method to dynamically define a divergence function for a given statistical manifold by means of the Hamilton-Jacobi theory associated with a…
A Pedagogical Intrinsic Approach to Relative Entropies as Potential Functions of Quantum Metrics: the - Family
Florio M. Ciaglia, Fabio Di Cosmo, Marco Laudato +4
The so-called -z-\textit{Rényi Relative Entropies} provide a huge two-parameter family of relative entropies which includes almost all well-known examples of quantum relative en…
Dynamical aspects in the Quantizer-Dequantizer formalism
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1
The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered. We show that it is possible to embed a manifold in the space of quantu…
Dynamical Vector Fields on the Manifold of Quantum States
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +2
In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it. In particular, we show that the infinitesimal generator of the GKLS…
Covariant Jacobi Brackets for Test Particles
Manuel Asorey, Florio M. Ciaglia, Fabio Di Cosmo +2
We show that the space of observables of test particles carries a natural Jacobi structure which is manifestly invariant under the action of the Poincaré group. Poisson algebras ma…
Covariant Brackets for Particles and Fields
Manuel Asorey, Florio M. Ciaglia, Fabio Di Cosmo +1
A geometrical approach to the covariant formulation of the dynamics of relativistic systems is introduced. A realization of Peierls brackets by means of a bivector field over the s…
Differential Calculus on Manifolds with a Boundary. Applications
Florio Maria Ciaglia, Fabio Di Cosmo, Marco Laudato +1
This paper contains a set of lecture notes on manifolds with boundary and corners, with particular attention to the space of quantum states. A geometrically inspired way of dealing…