35 citations · 370 across the 50 of their papers we have counts for
16 papers · 1 filter
Quasi-invariant states
Luigi Accardi, Ameur Dhahri
We develop the theory of quasi--invariant (resp. strongly quasi--invariant) states under the action of a group of normal --automorphisms of a --algebra (or von Neumann al…
The -dimensional quadratic Heisenberg algebra as a "non--commutative"
Luigi Accardi, Andreas Boukas, Yun-Gang Lu
We prove that the commutation relations among the generators of the quadratic Heisenberg algebra of dimension , look like a kind of \textit{non-commutative extensio…
von Neumann's Minimax Theorem for Continuous Quantum Games
Luigi Accardi, Andreas Boukas
The concept of a classical player, corresponding to a classical random variable, is extended to include quantum random variables in the form of self adjoint operators on infinite d…
Bose-Einstein condensation and condensation of -particles in equilibrium and non equilibrium thermodynamics: a new approach
Luigi Accardi, Francesco Fidaleo
In the setting of the principle of local equilibrium which asserts that the temperature is a function of the energy levels of the system, we exhibit plenty of steady states describ…
On Quantum Markov Chains on Cayley tree III: Ising model
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum M…
Optimal Hamiltonian of Fermion Flows
Luigi Accardi, Andreas Boukas
After providing a general formulation of Fermion flows within the context of Hudson-Parthasarathy quantum stochastic calculus, we consider the problem of determining the noise coef…