3 citations · 5 across the 5 of their papers we have counts for
6 papers
Resonances for homoclinic trapped sets
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis.…
On the classical limit of self-interacting quantum field Hamiltonians with cutoffs
Zied Ammari, Maher Zerzeri
We study, using Hepp's method, the propagation of coherent states for a general class of self interacting bosonic quantum field theories with spatial cutoffs. This includes models…
Spectral shift function for perturbed periodic Schroedinger operators. The large-coupling constant limit case
Mouez Dimassi, Maher Zerzeri
In the large coupling constant limit, we obtain an asymptotic expansion in powers of of the derivative of the spectral shift function corresponding to the pair $\b…
Spectral shift function for slowly varying perturbation of periodic Schroedinger operators
Mouez Dimassi, Maher Zerzeri
In this paper we study the asymptotic expansion of the spectral shift function for the slowly varying perturbations of periodic Schrödinger operators. We give a weak and pointwise…
Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close t…
Microlocal kernel of pseudodifferential operators at an hyperbolic fixed point
J. -F. Bony, S. Fujiie, T. Ramond +1
We study the microlocal kernel of h-pseudodifferential operators P(x,hD)-z, where z belongs to some neighborhood of size O(h) of a critical value of its principal symbol. We suppos…