RT info:eu-repo/semantics/article T1 One-dimensional scattering of fermions in double Dirac delta potentials A1 Santamaría Sanz, Lucía K1 Física K1 Physics K1 Matemáticas K1 Mathematics AB The spectrum of bound and scattering states of the one dimensional Dirac Hamiltonian describing fermions distorted by a static background built from two Dirac delta potentials is studied. A distinction will be made between 'mass-spike' and 'electrostatic' δ-potentials. The second quantisation is then performed to promote the relativistic quantum mechanical problem to a relativistic quantum field theory and study the quantum vacuum interaction energy for fermions confined between opaque plates. The work presented here is a continuation of (Guilarte et al 2019 Front. Phys.7 109). PB IOP Publishing SN 1751-8113 YR 2023 FD 2023-08 LK http://hdl.handle.net/10259/10006 UL http://hdl.handle.net/10259/10006 LA eng NO This research was supported by Spanish MCIN with funding from European Union NextGenerationEU (PRTRC17.I1) and Consejer´ıa de Educaci´on from JCyL through QCAYLE project, as well as MCIN project PID2020-113406GB-I00. I am greatful to the Spanish Government for the FPU-PhD fellowship program (Grant No. FPU18/00957). DS Repositorio Institucional de la Universidad de Burgos RD 17-mar-2025