3 citations · 8 across the 8 of their papers we have counts for
10 papers
Counter-examples to the fractal Weyl law for semiclassical resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
Under general assumptions, the numbers of semiclassical resonances is known to be bounded from above by a negative power of which is given by the fractal dimension of the trapp…
Transition of the semiclassical resonance widths across a tangential crossing energy-level
Marouane Assal, Setsuro fujiie, Kenta Higuchi
We consider a 1D matrix-valued operator \eqref{System0} with two semiclassical Schrödinger operators on the diagonal entries and small interactions on the off-diagonal…
An example of resonance instability
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We construct a semiclassical Schrödinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size when a real compactly suppor…
Barrier-top resonances for non globally analytic potentials
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on , , whose potential is everywhere and analytic a…
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
Setsuro Fujiie, André Martinez, Takuya Watanabe
We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them…
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.…