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

Jussi Behrndt; Markus Holzmann; Andrea Mantile; Andrea Posilicano

doi:10.1063/1.5123289

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

Jussi Behrndt, Markus Holzmann, Andrea Mantile, Andrea Posilicano

Institute of Applied Mathematics (5040)

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	033504
Journal	Journal of Mathematical Physics
Volume	61
Issue number	3
DOIs	https://doi.org/10.1063/1.5123289
Publication status	Published - 1 Mar 2020

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "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.",

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

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