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

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.

Final version

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Cited by in corpus (2)

• General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
• Eigenvalue curves for generalized MIT bag models