56 citations · 305 across the 37 of their papers we have counts for
5 papers · 1 filter
On the semiclassical spectrum of the Dirichlet-Pauli operator
Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. Assuming that the magne…
The MIT Bag Model as an infinite mass limit
Naiara Arrizabalaga, Loïc Le Treust, Albert Mas +1
The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass lies outside a smooth and bounded open set , it is proved that its spe…
On the semiclassical Laplacian with magnetic field having self-intersecting zero set
Monique Dauge, Jean-Philippe Miqueu, Nicolas Raymond
This paper is devoted to the spectral analysis of the Neumann realization of the 2D magnetic Laplacian with semiclassical parameter h > 0 in the case when the magnetic field vanish…
Boundary effects on the magnetic Hamiltonian dynamics in two dimensions
Tho Nguyen Duc, Nicolas Raymond, San Vu Ngoc
We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field in a two-dimensional domain. We provide conditions on the magnetic field in a neighbourho…
On the stability of the Schwartz class under the magnetic Schrödinger flow
Grégory Boil, Nicolas Raymond, San Vu Ngoc
We prove that the Schwartz class is stable under the magnetic Schrödinger flow when the magnetic -form is non-degenerate and does not oscillate too much at infinity.