Klein's paradox and the relativistic d-shell interaction in R3

Cita com:
hdl:2117/169311
Document typeArticle
Defense date2017-12-20
PublisherMathematical Sciences Publishers
Rights accessOpen Access
European Commission's projectHADE - Harmonic Analysis and Differential Equations: New Challenges (EC-H2020-669689)
Abstract
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.
ISSN2157-5045
Publisher versionhttps://msp.org/apde/2018/11-3/p06.xhtml
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