56 citations · 305 across the 37 of their papers we have counts for
4 papers · 1 filter
On the two-dimensional quantum confined Stark effect in strong electric fields
Horia Cornean, David Krejcirik, Thomas Garm Pedersen +2
We consider a Stark Hamiltonian on a two-dimensional bounded domain with Dirichlet boundary conditions. In the strong electric field limit we derive, under certain local convexity…
On the Dirac bag model in strong magnetic fields
Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond +1
In this work we study Dirac operators on two-dimensional domains coupled to a magnetic field perpendicular to the plane. We focus on the infinite-mass boundary condition (also call…
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…