Session S30 - Mathematical Methods in Quantum Mechanics

Thursday, July 15, 17:00 ~ 17:25 UTC-3

The two-dimensional Dirac bag model in strong magnetic fields

Edgardo Stockmeyer

Pontificia Universidad Católica de Chile, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider a Dirac system confined to a bounded domain in the plane. This amounts to a family of boundary conditions. There are two extreme cases, zig-zig and infinite-mass boundary conditions. Consider a magnetic field perpendicular to the plane. I will present results on accurate asymptotics of the energy spectrum of the underlying Hamiltonian in the strong magnetic field limit. We will compare the results for different boundary conditions.

Joint work with Jean-Marie Barbaroux (Université de Toulon, France), Loic Le Treust (Aix Marseille Univ, France) and Nicolas Raymond (Université d’Angers, France).

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