English

Limiting absorption principle and scattering matrix for Dirac operators with $\delta$-shell interactions

Mathematical Physics 2020-06-15 v2 Analysis of PDEs math.MP

Abstract

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

Keywords

Cite

@article{arxiv.1908.01205,
  title  = {Limiting absorption principle and scattering matrix for Dirac operators with $\delta$-shell interactions},
  author = {Jussi Behrndt and Markus Holzmann and Andrea Mantile and Andrea Posilicano},
  journal= {arXiv preprint arXiv:1908.01205},
  year   = {2020}
}

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Final version

R2 v1 2026-06-23T10:38:56.856Z