Approximation of Dirac operators with confining electrostatic and Lorentz scalar $\hat{I}´$-shell potentials

Abstract

In this paper we study the approximation of Dirac operators with $\hat{I}´$-shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar $\hat{I}´$-shell potentials, where the support of the $\hat{I}´$-shell potentials is impermeable to particles modelled by such Dirac operators.