62 citations · 335 across the 24 of their papers we have counts for
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math-ph2014★ 44 cited
On the rate of convergence for the mean field approximation of many-body quantum dynamics
Zied Ammari, Marco Falconi, Boris Pawilowski
We consider the time evolution of quantum states by many-body Schrödinger dynamics and study the rate of convergence of their reduced density matrices in the mean field limit. If t…
math.FA2014★ 16 cited
Self-Adjointness criterion for operators in Fock spaces
Marco Falconi
In this paper we provide a criterion of essential self-adjointness for operators in the tensor product of a separable Hilbert space and a Fock space. The class of operators we cons…
math.AP2014★ 22 cited
Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy
Zied Ammari, Marco Falconi
We consider the classical limit of the Nelson model, a system of stable nucleons interacting with a meson field. We prove convergence of the quantum dynamics towards the evolution…