15 citations · 15 across the 3 of their papers we have counts for
3 papers
math.SP2026
Generic simplicity for self-adjoint operators under bounded potential perturbations
Marianna Chatzakou, Bernard Helffer
We are interested in the generic simplicity of the spectrum of self-adjoint operators under bounded potential perturbations. More precisely, given a semibounded self-adjoint operat…
math.AP2026
Inverse Spectral Analysis of Singular Radial AKNS Operators
Damien Gobin, Benoît Grébert, Bernard Helffer +1
We study an inverse spectral problem for singular AKNS operators based on spectral data associated with two distinct values of the effective angular momentum parameter . Our m…
math.AP2008★ 15 cited
On mathematical models for Bose-Einstein condensates in optical lattices (expanded version)
Amandine Aftalion, Bernard Helffer
Our aim is to analyze the various energy functionals appearing in the physics literature and describing the behavior of a Bose-Einstein condensate in an optical lattice. We want to…