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arXiv · 1903.05568

One-dimensional scattering of fermions on $δ$-impurities

J. Mateos Guilarte·Jose M. Munoz-Castaneda·Irina Pirozhenko·Lucia Santamaria-Sanz
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Abstract

We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering states of a fermion distorted by a static background built from $δ$-function potentials. We distinguish between "mass-spike" and "electrostatic" $δ$-potentials. Differences in the spectra arising depending on the type of $δ$-potential studied are thoroughly explored.

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J. Mateos Guilarte, Jose M. Munoz-Castaneda, Irina Pirozhenko, Lucia Santamaria-Sanz. 2020-10-21. One-dimensional scattering of fermions on $δ$-impurities. https://doi.org/10.3389/fphy.2019.00109

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