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oai:riubu.ubu.es:10259/103182025-03-14T01:05:30Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

One-Dimensional Scattering of Fermions on δ-Impurities Mateos Guilarte, Juan María Muñoz Castañeda, José María Pirozhenko, Irina Santamaría Sanz, Lucía Contact interactions Dirac equation Dirac delta Selfadjoint extensions Relativistic quantum mechanics Física Matemáticas Physics Mathematics 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. 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). 2025-03-13T08:33:19Z 2025-03-13T08:33:19Z 2019-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/10259/10318 10.3389/fphy.2019.00109 2296-424X eng Frontiers in Physics. 2019, V. 7, n. 109 https://doi.org/10.3389/fphy.2019.00109 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess application/pdf Frontiers https://riubu.ubu.es/bitstream/10259/10318/4/Guilarte-fiphy_2019.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by/4.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/10318