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Localization in infinite billiards: a comparison between quantum and classical ergodicity
Sandro Graffi, Marco Lenci
Consider the non-compact billiard in the first quandrant bounded by the positive -semiaxis, the positive -semiaxis and the graph of , . Althoug…
Mean-Field Approximation of Quantum Systems and Classical Limit
Sandro Graffi, Andre' Martinez, Mario Pulvirenti
We prove that, for a smooth two-body potentials, the quantum mean-field approximation to the nonlinear Schroedinger equation of the Hartree type is stable at the classical limit h…
Mean field behaviour of spin systems with orthogonal interaction matrix
Pierluigi Contucci, Sandro Graffi, Stefano Isola
For the long-range deterministic spin models with glassy behaviour of Marinari, Parisi and Ritort we prove weighted factorization properties of the correlation functions which repr…
Long time semiclassical approximation of quantum flows: a proof of the Ehrenfest time
Dario Bambusi, Sandro Graffi, Thierry Paul
Let be a holomorphic Hamiltonian of quadratic growth on , a holomorphic exponentially localized observable, , the corresponding operators on $L^…