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 14-mar-2025