Jul 6 – 8, 2022
Institut de Mathématiques de Bordeaux
Europe/Paris timezone

Biagio Cassano: General δ-shell interactions for the two-dimensional Dirac operator.

Jul 6, 2022, 3:30 PM
Salle de Conférences (Institut de Mathématiques de Bordeaux)

Salle de Conférences

Institut de Mathématiques de Bordeaux

351 cours de la libération 33400 TALENCE


In this talk we will consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed by decomposing it into a linear combination of four elementary interactions: electrostatic, Lorentz scalar, magnetic, and a fourth one which can be absorbed by using unitary transformations. We address the self-adjointness and the spectral description of the underlying Dirac operator, and moreover we describe its approximation by Dirac operators with regular potentials. This is a joint work with V. Lotoreichik, A. Mas and M.Tušek.

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