2026-04-29T17:05:38Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/100062025-01-24T01:05:27Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Santamaría Sanz, Lucía 2025-01-23T08:22:35Z 2025-01-23T08:22:35Z 2023-08 1751-8113 http://hdl.handle.net/10259/10006 10.1088/1751-8121/acef0d 1751-8121 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). application/pdf eng IOP Publishing Journal of Physics A: Mathematical and Theoretical. 2023, V. 56, n. 38, p. 385201 https://doi.org/10.1088/1751-8121/acef0d Física Matemáticas Physics Mathematics One-dimensional scattering of fermions in double Dirac delta potentials info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion info:eu-repo/semantics/openAccess Journal of Physics A: Mathematical and Theoretical 56 38 385201