Shell interactions for Dirac operators: on the point spectrum and the confinement

Naiara Arrizabalaga, Albert Mas, Luis Vega

Spectral properties and the confinement phenomenon for the coupling $H+V$ are studied, where $H=-i\alpha \cdot \nabla +m\beta$ is the free Dirac operator in ${\mathcal{R}}^3$ and $V$ is a measu…