One-Dimensional Scattering of Fermions on δ-Impurities
Juan Mateos Guilarte, Jose M. Munoz-Castaneda, Irina Pirozhenko and 2 more
Frontiers in Physics · 2019
doi:10.3389/fphy.2019.00109 (opens in a new tab)
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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. 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.
Abstract licence: CC BY
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