4 citations · 8 across the 19 of their papers we have counts for
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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…
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…
Eigenvalues of the Neumann magnetic Laplacian in the unit disk
Bernard Helffer, Corentin Léna
In this paper, we study the first eigenvalue of the magnetic Laplacian with Neumann boundary conditions in the unit disk in . There is a rather complete as…
On Courant and Pleijel theorems for sub-Riemannian Laplacians
Rupert L. Frank, Bernard Helffer
We are interested in the number of nodal domains of eigenfunctions of sub-Laplacians on sub-Riemannian manifolds. Specifically, we investigate the validity of Pleijel's theorem, wh…