124 citations · 218 across the 14 of their papers we have counts for
4 papers · 1 filter
Quantum mean field asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux, Francis Nier
We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of me…
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances
A. Faraj, A. Mantile, F. Nier
This paper is concerned with a linearized version of the transport problem where the Schrödinger-Poisson operator is replaced by a non-autonomous Hamiltonian, slowly varying in tim…
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states
Zied Ammari, Francis Nier
Contrary to the finite dimensional case, Weyl and Wick quantizations are no more asymptotically equivalent in the infinite dimensional bosonic second quantization. Moreover neither…
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians
Taoufik Hmidi, Andrea Mantile, Francis Nier
The non autonomous Cauchy problem for time dependent 1D point interactions is considered. The regularity assumptions for the coupling parameter are accurately analyzed and show tha…