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<field name="value">Mateos Guilarte, Juan María</field>
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<field name="value">Muñoz Castañeda, José María</field>
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<field name="value">Pirozhenko, Irina</field>
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<field name="value">Santamaría Sanz, Lucía</field>
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<field name="value">2025-03-13T08:33:19Z</field>
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<field name="value">2019-08</field>
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<field name="value">10.3389/fphy.2019.00109</field>
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<field name="value">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.</field>
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<field name="value">JG, JM-C, and LS-S are grateful to the Spanish GovernmentMINECO (MTM2014-57129-C2-1-P) and the Junta de Castilla y León (BU229P18, VA137G18, and VA057U16) for the financial support. LS-S is grateful the Valladolid University, through the Ph.D. fellowships programme (Contratos predoctorales de la UVa).</field>
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<field name="value">Frontiers in Physics. 2019, V. 7, n. 109</field>
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<field name="value">Contact interactions</field>
<field name="value">Dirac equation</field>
<field name="value">Dirac delta</field>
<field name="value">Selfadjoint extensions</field>
<field name="value">Relativistic quantum mechanics</field>
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<field name="value">One-Dimensional Scattering of Fermions on δ-Impurities</field>
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