RT info:eu-repo/semantics/article T1 One-Dimensional Scattering of Fermions on δ-Impurities A1 Mateos Guilarte, Juan María A1 Muñoz Castañeda, José María A1 Pirozhenko, Irina A1 Santamaría Sanz, Lucía K1 Contact interactions K1 Dirac equation K1 Dirac delta K1 Selfadjoint extensions K1 Relativistic quantum mechanics K1 Física K1 Physics K1 Matemáticas K1 Mathematics AB We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound andscattering states of a fermion distorted by a static background built from δ-functionpotentials. After introducing the most general Dirac-δ potential for the Dirac equationwe distinguish between “mass-spike” and “electrostatic” δ-potentials. Differences in thespectra arising depending on the type of δ-potential are studied in deep detail. PB Frontiers YR 2019 FD 2019-08 LK http://hdl.handle.net/10259/10318 UL http://hdl.handle.net/10259/10318 LA eng NO 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). DS Repositorio Institucional de la Universidad de Burgos RD 15-mar-2025