Klein's paradox and the relativistic d-shell interaction in R3
PublisherMathematical Sciences Publishers
Rights accessOpen Access
European Commission's projectHADE - Harmonic Analysis and Differential Equations: New Challenges (EC-H2020-669689)
Under certain hypotheses of smallness on the regular potential V, we prove that the Dirac operator in Unexpected text node: 'R', coupled with a suitable rescaling of V, converges in the strong resolvent sense to the Hamiltonian coupled with a Unexpected text node: 'd'-shell potential supported on Unexpected text node: 'S', a bounded Unexpected text node: 'C' surface. Nevertheless, the coupling constant depends nonlinearly on the potential V; Klein’s paradox comes into play.
CitationMas, A. Klein's paradox and the relativistic d-shell interaction in R3. "Analysis & PDE", 20 Desembre 2017, vol. 11, núm. 3, p. 705-744.