B. Helffer

activity

20002025

most citedSpectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: Analysis near the bottom

5 citations · 35 across the 33 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

On critical points of eigenvalues of the Montgomery family of quartic oscillators

Bernard Helffer, Matthieu Léautaud

We discuss spectral properties of the family of quartic oscillators $h_{M} (α) = - \frac{d ^{2}}{d t ^{2}} + (\frac{1}{2} t^{2} - α)^{2}$ on the real line, where $α\in…

math.SP2022

Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue

Bernard Helffer, Ayman Kachmar

We study the 3D Neuman magnetic Laplacian in the presence of a semi-classical parameter and a non-uniform magnetic field with constant intensity. We determine a sharp two term asym…