Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
@article{Behrndt2022TwodimensionalDO, title={Two-dimensional Dirac operators with general $\delta$-shell interactions supported on a straight line}, author={Jussi Behrndt and Markus Holzmann and Matěj Tu{\vs}ek}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2022}, volume={56} }
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 gap…
One Citation
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