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

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 Publication date 2019
  fields Physics
and research's language is English




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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 $delta$-function potentials. We distinguish between mass-spike and electrostatic $delta$-potentials. Differences in the spectra arising depending on the type of $delta$-potential studied are thoroughly explored.



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