On the Dirac bag model in strong magnetic fields

Jean-Marie Barbaroux (1, 2) , Loïc Le Treust (3) , Nicolas Raymond (4) , Edgardo Stockmeyer (5)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale
3 I2M - Institut de Mathématiques de Marseille
4 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
5 UC - Pontificia Universidad Católica de Chile

In this work we study two-dimensional Dirac operators on bounded domains coupled to a magnetic field perpendicular to the plane. We focus on the MIT bag boundary condition and provide accurate asymptotic estimates for the low-lying (positive and negative) energies in the limit of a strong magnetic field.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. On the Dirac bag model in strong magnetic fields. 2020. ⟨hal-02889558v2⟩