56 citations · 305 across the 37 of their papers we have counts for
6 papers · 1 filter
Holomorphic extension of the de Gennes function
Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond
This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis.
Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials
Vincent Duchêne, Nicolas Raymond
This study is devoted to the asymptotic spectral analysis of multiscale Schrödinger operators with oscillating and decaying electric potentials. Different regimes, related to scali…
On the MIT bag model: self-adjointness and non-relativistic limit
Naiara Arrizabalaga, Loïc Le Treust, Nicolas Raymond
This paper is devoted to the mathematical investigation of the MIT bag model, that is the Dirac operator on a smooth and bounded domain with certain boundary conditions. We prove t…
Non-accretive Schrödinger operators and exponential decay of their eigenfunctions
David Krejcirik, Nicolas Raymond, Julien Royer +1
We consider non-self-adjoint electromagnetic Schrödinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Unde…
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
Soeren Fournais, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to the asymptotic analysis of the optimal Sobolev constants in the semiclassical limit and in any dimension. We combine semiclassical arguments and concentrat…
Weyl formulae for the Robin Laplacian in the semiclassical limit
A Kachmar, P Keraval, N Raymond
This paper is devoted to establish semiclassical Weyl formulae for the Robin Laplacian on smooth domains in any dimension. Theirs proofs are reminiscent of the Born-Oppenheimer met…