29 citations · 29 across the 1 of their papers we have counts for
5 papers
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…
Self-Adjointness of Dirac Operators with Infinite Mass Boundary Conditions in Sectors
Loïc Le Treust, Thomas Ourmières-Bonafos
This paper deals with the study of the two-dimensional Dirac operatorwith infinite mass boundary condition in a sector. We investigate the question ofself-adjointness depending on…
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…
Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation Part 1 : Construction of the schemes and simulations
Philippe Chartier, Loïc Le Treust, Florian Méhats
This article is devoted to the construction of new numerical methods for the semiclassical Schrödinger equation. A phase-amplitude reformulation of the equation is described where…
Uniformly accurate time-splitting methods for the semiclassical linear Schr{ö}dinger equation
Philippe Chartier, Loïc Le Treust, Florian Méhats
This article is devoted to the construction of numerical methods which remain insensitive to the smallness of the semiclassical parameter for the linear Schr{ö}dinger equation in t…