AUTHOR=Guilarte Juan Mateos , Munoz-Castaneda Jose M. , Pirozhenko Irina , Santamaría-Sanz Lucia 

TITLE=One-Dimensional Scattering of Fermions on δ-Impurities

JOURNAL=Frontiers in Physics

VOLUME=7

YEAR=2019

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00109

DOI=10.3389/fphy.2019.00109

ISSN=2296-424X

ABSTRACT=<p>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. After introducing the most general Dirac-δ potential for the Dirac equation we distinguish between “mass-spike” and “electrostatic” δ-potentials. Differences in the spectra arising depending on the type of δ-potential are studied in deep detail.</p>