Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

Jussi Behrndt, Markus Holzmann, Andrea Mantile, Andrea Posilicano

Research output: Contribution to journalArticlepeer-review


We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with electrostatic and Lorentz scalar δ-shell interactions supported on regular compact surfaces. Then, we show completeness of the wave operators and give a representation formula for the scattering matrix.

Original languageEnglish
Article number033504
JournalJournal of Mathematical Physics
Issue number3
Publication statusPublished - 1 Mar 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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