The Dirac bag model in strong magnetic fields

Loïc Le Treust
Location
Angers
Date and time
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Conference - Multiscale problems in mathematical physics

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 called MIT bag condition). In the case of bounded domains, we establish the asymptotic behavior of the low-lying (positive and negative) energies in the limit of strong magnetic field.