6 citations · 8 across the 5 of their papers we have counts for
16 papers
On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields
Enguerrand Bon-Lavigne, Loïc Le Treust, Nicolas Raymond +1
We consider the Dirichlet Laplacian with uniform magnetic field on a curved strip in two dimensions. We give a sufficient condition ensuring the existence of the discrete spectrum…
Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field
Frédéric Hérau, Nicolas Raymond
This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and…
Eigenvalue asymptotics for confining magnetic Schrödinger operators with complex potentials
Léo Morin, Nicolas Raymond, San Vu Ngoc
This article is devoted to the spectral analysis of the electro-magnetic Schrödinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential ef…
Magnetic confinement for the 3D Robin Laplacian
Bernard Helffer, Ayman Kachmar, Nicolas Raymond
We determine accurate asymptotics of the lowest eigenvalue for the Laplace operator with a smooth magnetic field and Robin boundary conditions in a smooth 3D domain, when the Robin…
Magnetic WKB constructions on surfaces
Yannick Guedes Bonthonneau, Tho Nguyen Duc, Nicolas Raymond +1
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumpti…
Purely magnetic tunneling effect in two dimensions
Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond
The semiclassical magnetic Neumann Schrödinger operator on a smooth, bounded, and simply connected domain of the Euclidean plane is considered. When has a symmetry axis, th…