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11 papers · 2 filters
Broken Symmetries in the Entanglement of Formation
F. Benatti, H. Narnhofer, A. Uhlmann
We compare some recent computations of the entanglement of formation in quantum information theory and of the entropy of a subalgebra in quantum ergodic theory. Both notions requir…
Cartan Calculus via Pauli Matrices
D. Mauro
In this paper we will provide a new operatorial counterpart of the path-integral formalism of classical mechanics developed in recent years. We call it new because the Jacobi field…
Planck's scale dissipative effects in atom interferometry
F. Benatti, R. Floreanini
Atom interferometers can be used to study phenomena leading to irreversibility and dissipation, induced by the dynamics of fundamental objects (strings and branes) at a large mass…
Complete positivity and dissipative factorized dynamics
F. Benatti, R. Floreanini, R. Romano
We show that any Hermiticity and trace preserving continuous semigroup gamma_t in d dimensions is completely positive if and only if the semigroup gamma_t otimes gamma_t is positiv…
Hilbert Space Structure in Classical Mechanics: (II)
E. Deotto, E. Gozzi, D. Mauro
In this paper we analyze two different functional formulations of classical mechanics. In the first one the Jacobi fields are represented by bosonic variables and belong to the vec…
Hilbert Space Structure in Classical Mechanics: (I)
E. Deotto, E. Gozzi, D. Mauro
In this paper we study the Hilbert space structure underlying the Koopman-von Neumann (KvN) operatorial formulation of classical mechanics. KvN limited themselves to study the Hilb…