An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators

Naiara Arrizabalaga, Albert Mas, Luis Vega

In this article we investigate spectral properties of the coupling $H+V_{\lambda }$, where $H=-i\alpha \cdot \nabla +m\beta$ is the free Dirac operator in ${\mathbb{R}}^3$, $m>0$ and $V_{\lambda }$ is an electros…