44 citations · 44 across the 2 of their papers we have counts for
3 papers
math-ph2015
Mean field approximation of many-body quantum dynamics for Bosons in a discrete numerical model
Boris Pawilowski
The mean field approximation is numerically validated in the bosonic case by considering the time evolution of quantum states and their associated reduced density matrices by many-…
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-ph2014
Mean field limit for Bosons with compact kernels interactions by Wigner measures transportation
Boris Pawilowski, Quentin Liard
We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We in…