We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with electrostatic and Lorentz scalar 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.
Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions
Posilicano, Andrea
2020-01-01
Abstract
We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with electrostatic and Lorentz scalar 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.
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