4 papers
Dirac operators and shell interactions: a survey
Thomas Ourmières-Bonafos, Fabio Pizzichillo
In this survey we gather recent results on Dirac operators coupled with -shell interactions. We start by discussing recent advances regarding the question of self-adjointness fo…
Self-Adjointness of two dimensional Dirac operators on corner domains
Fabio Pizzichillo, Hanne Van Den Bosch
We investigate the self-adjointness of the two-dimensional Dirac operator , with quantum-dot and Lorentz-scalar -shell boundary conditions, on piecewise domains with fi…
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
Biagio Cassano, Fabio Pizzichillo, Luis Vega
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrix-valued…
Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations
Biagio Cassano, Fabio Pizzichillo
We determine explicitly a boundary triple for the Dirac operator in , for and $\mathbb V(x)= |x|^{-1} ( ν\mathb…