3 citations · 3 across the 7 of their papers we have counts for
8 papers
Spectral Asymptotics of a Singular Harmonic Oscillator with Aharonov--Bohm Flux
Bernard Helffer, Ayman Kachmar, François Nicoleau
Motivated by a recent article of R. Vanlaere (2026), we investigate the spectral asymptotics of a singular harmonic oscillator arising from the radial reduction of the magnetic Sch…
Inverse Semiclassical Scattering at Fixed Energy
François Nicoleau
We investigate inverse scattering at a fixed energy for semiclassical Schrödinger operators with smooth potentials. For compactly supported potentials satisfying a natural virial c…
Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk
Bernard Helffer, Ayman Kachmar, François Nicoleau
We derive a three-term asymptotic expansion for the lowest eigenvalue of the magnetic Laplace and Steklov operators in the exterior of the unit disk in the strong magnetic field li…
On the magnetic Dirichlet to Neumann operator on the exterior of the disk -- diamagnetism, weak-magnetic field limit and flux effects
Helffer Bernard, Nicoleau Francois
In this paper, we analyze the magnetic Dirichlet-to-Neumann operator (D-to-N map) on the exterior of the disk with respect to a magnetic potential $A_{b, ν}=A^b + A…
Stable factorization of the Calderón problem via the Born approximation
Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1
In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears…
Scattering matrices for dissipative quantum systems
Jérémy Faupin, Francois Nicoleau
We consider a quantum system S interacting with another system S and susceptible of being absorbed by S. The effective, dissipative dynamics of S is supposed to be generated by an…
Does Levinson's theorem count complex eigenvalues ?
F. Nicoleau, D. Parra, S. Richard
Yes it does ! Indeed an extended version of Levinson's theorem is proposed for a system involving complex eigenvalues. The perturbed system corresponds to a realization of the Schr…
A new Levinson's theorem for potentials with critical decay
Xiaoyao Jia, François Nicoleau, Xue Ping Wang
We study the low-energy asymptotics of the spectral shift function for Schrödinger operators with potentials decaying like . We prove a generalized Levinson's f…