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

Published 3 Aug 2019 in math-ph, math.AP, and math.MP | (1908.01205v2)

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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