5 papers
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…
Alternative tangent and cotangent structures and their physical applications
José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo
The conditions under which a given manifold may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different conte…
Electromagnetism: an intrinsic approach to Hadamard's method of descent
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi +4
We present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By explor…
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,…
Interaction anomalies and one-particle dynamics in very special relativity theories
Manuel Asorey, Fernando Falceto, Giuseppe Marmo
It is well known that relativistic invariance introduce strong constraints in the interactions of classical particles. We generalize the non-interaction theorems for Lorentz violat…