1 citations · 1 across the 3 of their papers we have counts for
7 papers
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
Loïc Le Treust, Jean-Marie Barbaroux, Horia D. Cornean +2
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of…
Boundary states of the Robin magnetic Laplacian
Rayan Fahs, Loïc Le Treust, Nicolas Raymond +1
This article tackles the spectral analysis of the Robin Laplacian on a smooth bounded two-dimensional domain in the presence of a constant magnetic field. In the semiclassical limi…
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…
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…
Symmetric Excited States for a Mean-Field Model for a Nucleon
Loïc Le Treust, Simona Rota Nodari
In this paper, we consider a stationary model for a nucleon interacting with the and mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear p…