Talk by Hanne Van Den Bosch
On May 3rd, 2023, Hanne Van Den Bosch (University of Chile, Chile) gave a talk about "Boundary conditions for self-adjoint Dirac operators and applications to graphene" as part of the online workshop on "Dirac equation between discrete and continuous: new trends and applications" organized by Ginestra Bianconi (Queen Mary University of London) and Delio Mugnolo (FernUniversität in Hagen). This lecture is partially supported by the COST action Mathematical models for interacting dynamics on networks.
Abstract
Show Abstract
The topic of this talk is the Dirac operator on a domain in the plane. We analyse the possible boundary conditions that can be imposed, and ways to reduce the number of parameters by means of a unitary transformation. We will then connect these with the boundary conditions that can be obtained in a continuum limit from the tight-binding model for electrons in
graphene.
Joint work with Rafael Benguria, Edgardo Stockmeyer and Cristóbal Vallejos
