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<dc:title>One-Dimensional Scattering of Fermions on δ-Impurities</dc:title>
<dc:creator>Mateos Guilarte, Juan María</dc:creator>
<dc:creator>Muñoz Castañeda, José María</dc:creator>
<dc:creator>Pirozhenko, Irina</dc:creator>
<dc:creator>Santamaría Sanz, Lucía</dc:creator>
<dc:subject>Contact interactions</dc:subject>
<dc:subject>Dirac equation</dc:subject>
<dc:subject>Dirac delta</dc:subject>
<dc:subject>Selfadjoint extensions</dc:subject>
<dc:subject>Relativistic quantum mechanics</dc:subject>
<dcterms:abstract>We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and&#xd;
scattering states of a fermion distorted by a static background built from δ-function&#xd;
potentials. After introducing the most general Dirac-δ potential for the Dirac equation&#xd;
we distinguish between “mass-spike” and “electrostatic” δ-potentials. Differences in the&#xd;
spectra arising depending on the type of δ-potential are studied in deep detail.</dcterms:abstract>
<dcterms:dateAccepted>2025-03-13T08:33:19Z</dcterms:dateAccepted>
<dcterms:available>2025-03-13T08:33:19Z</dcterms:available>
<dcterms:created>2025-03-13T08:33:19Z</dcterms:created>
<dcterms:issued>2019-08</dcterms:issued>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:identifier>http://hdl.handle.net/10259/10318</dc:identifier>
<dc:identifier>10.3389/fphy.2019.00109</dc:identifier>
<dc:identifier>2296-424X</dc:identifier>
<dc:language>eng</dc:language>
<dc:relation>Frontiers in Physics. 2019, V. 7, n. 109</dc:relation>
<dc:relation>https://doi.org/10.3389/fphy.2019.00109</dc:relation>
<dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:rights>Atribución 4.0 Internacional</dc:rights>
<dc:publisher>Frontiers</dc:publisher>
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