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arXiv · 1908.01205

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

Jussi Behrndt·Markus Holzmann·Andrea Mantile·Andrea Posilicano
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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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Jussi Behrndt, Markus Holzmann, Andrea Mantile, Andrea Posilicano. 2020-06-12. Limiting absorption principle and scattering matrix for Dirac operators with $δ$-shell interactions. https://doi.org/10.1063/1.5123289

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