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On Dirac operators with electrostatic $\delta$-shell interactions of critical strength

On Dirac operators with electrostatic $\delta$-shell interactions of critical strength

In this paper we prove that the Dirac operator A_\eta with an electrostatic \delta -shell interaction of critical strength \eta = \pm 2 supported on a C^2 -smooth compact surface \Sigma is self-adjoint in L^2(\mathbb{R}^3;\mathbb{C}^4) , we describe the domain explicitly in terms of traces and jump conditions in H^{-1/2}(\Sigma; …