124 citations · 218 across the 14 of their papers we have counts for
Showing 2011 · math.APShow all
3 papers · 2 filters
math.AP2011
Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential
Zied Ammari, Francis Nier
We consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in…
math.AP2011
Adiabatic approximation for a two-level atom in a light beam
Amandine Aftalion, Francis Nier
Several misprints and small mistakes were in the initial version. They have been corrected. Following the recent experimental realization of synthetic gauge magnetic forces, Jean D…
math.AP2011
Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex
Dorian Le Peutrec, Francis Nier, Claude Viterbo
Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for g…