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math.AP2020
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…
math.AP2012
Real analyticity of solutions to Schrödinger equations involving fractional Laplacians
Anna Dall'Acqua, Søren Fournais, Thomas Østergaard Sørensen +1
We prove analyticity of solutions in , , to certain nonlocal linear Schrödinger equations with analytic potentials.