6 citations · 10 across the 11 of their papers we have counts for
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Discrete spectrum of the magnetic Laplacian on perturbed half-planes
Virginie Bonnaillie-Noël, Søren Fournais, Ayman Kachmar +1
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer…
Effective operators on an attractive magnetic edge
Soeren Fournais, Bernard Helffer, Ayman Kachmar +1
The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontin…
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…
Magnetic quantum currents in the presence of a Neumann wall
Nicolas Raymond, Éric Soccorsi
We consider the Schrödinger operator with constant transverse magnetic field on a half-plane, endowed with Neumann boundary conditions. We study the low energy currents flowing alo…
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…