72 citations · 258 across the 17 of their papers we have counts for
7 papers · 1 filter
Bridging Classical and Quantum Worlds: Maps, States, and Evolutions
D. Amato, P. Facchi, G. Marmo
In this work, we present several aspects of the interplay between classical and quantum theories. After reviewing the equivalence between positivity and complete positivity in the…
GKLS Vector Field Dynamics for Gaussian States
Hans Cruz-Prado, Octavio Castaños, Giuseppe Marmo +1
We construct the vector field associated to the GKLS generator for systems described by Gaussian states. This vector field is defined on the dual space of the algebra of operators,…
Nonlinear Description of Quantum Dynamics. Generalized Coherent States
Hans Cruz-Prado, Giuseppe Marmo, Dieter Schuch +1
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the immersion of a classical mani…
Klein's programme and Quantum Mechanics
J. Clemente-Gallardo, G. Marmo
We review the geometrical formulation of Quantum Mechanics to identify, according to Klein's programme, the corresponding group of transformations. For closed systems, it is the un…
The Ehrenfest picture and the geometry of Quantum Mechanics
J. Clemente-Gallardo, G. Marmo
In this paper we develop a picture of Quantum Mechanics based on the description of physical observables in terms of expectation value functions, generalizing thus the so called Eh…
The space of density states in geometrical quantum mechanics
J. Clemente-Gallardo, G. Marmo
We present a geometrical description of the space of density states of a quantum system of finite dimension. After presenting a brief summary of the geometrical formulation of Quan…
Zeno dynamics and constraints
P. Facchi, G. Marmo, S. Pascazio +2
We investigate some examples of quantum Zeno dynamics, when a system undergoes very frequent (projective) measurements that ascertain whether it is within a given spatial region. I…