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One-dimensional scattering of fermions in double Dirac delta potentials Santamaría Sanz, Lucía Física Matemáticas Physics Mathematics 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). 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). 2025-01-23T08:22:35Z 2025-01-23T08:22:35Z 2023-08 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 1751-8113 http://hdl.handle.net/10259/10006 10.1088/1751-8121/acef0d 1751-8121 eng Journal of Physics A: Mathematical and Theoretical. 2023, V. 56, n. 38, p. 385201 https://doi.org/10.1088/1751-8121/acef0d info:eu-repo/semantics/openAccess application/pdf IOP Publishing https://riubu.ubu.es/bitstream/10259/10006/3/Santamar%c3%ada-jopamt_2023.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/10006