4 citations · 12 across the 10 of their papers we have counts for
12 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…
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…
Applications of resonance theory without analyticity assumption
Jean-Francois Bony, Laurent Michel, Thierry Ramond
We prove that the results in scattering theory that involve resonances are still valid for non-analytic potentials, even if the notion of resonance is not defined in this setting.…
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…
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.…
Non-real Eigenvalues for PT-Symmetric Double Wells
Amina Benbernou, Naima Boussekkine, Nawal Mecherout +2
We study small, PT-symmetric perturbations of self-adjoint double-well Schrödinger operators in dimension . We prove that the eigenvalues stay real for a very small pertur…