# Two-dimensional Dirac operators with general $\delta$-shell interactions supported on a straight line

@inproceedings{Behrndt2022TwodimensionalDO, title={Two-dimensional Dirac operators with general \$\delta\$-shell interactions supported on a straight line}, author={Jussi Behrndt and Markus Holzmann and Matvej Tuvsek}, year={2022} }

. In this paper the two-dimensional Dirac operator with a general hermitian δ -shell interaction supported on a straight line is introduced as a self-adjoint operator and its spectral properties are investigated in detail. In particular, it is demonstrated that the singularly continuous spectrum is always empty and that by switching a certain δ -shell interaction on, it is possible to generate an eigenvalue in the gap of the spectrum of the free operator or to partially or even fully close the…

## One Citation

### Boundary triples and Weyl functions for Dirac operators with singular interactions

- Mathematics
- 2022

In this article we develop a systematic approach to treat Dirac operators Aη,τ,λ with singular electrostatic, Lorentz scalar, and anomalous magnetic interactions of strengths η, τ, λ ∈ R,…

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