124 citations · 218 across the 14 of their papers we have counts for
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math-ph2010★ 3 cited
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…
math-ph2010★ 5 cited
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…
math.AP2010★ 1 cited
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach
Ali Faraj, Andrea Mantile, Francis Nier
Artificial interface conditions parametrized by a complex number are introduced for 1D-Schrödinger operators. When this complex parameter equals the parameter of…