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

Santamaría Sanz, Lucía bdaeec67-7ebf-4c3d-a970-445a0525174f 600 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 THUMBNAIL Santamaría-jopamt_2023.pdf.jpg Santamaría-jopamt_2023.pdf.jpg IM Thumbnail image/jpeg 4295 https://riubu.ubu.es/bitstream/10259/10006/3/Santamar%c3%ada-jopamt_2023.pdf.jpg d588b7bcd1bbecbd249b52bb6f70edfe MD5 3 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/10006/2/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 2 ORIGINAL Santamaría-jopamt_2023.pdf Santamaría-jopamt_2023.pdf application/pdf 2211434 https://riubu.ubu.es/bitstream/10259/10006/1/Santamar%c3%ada-jopamt_2023.pdf 48a9910be3e523b1e44e1b574756ab2b MD5 1 10259/10006 oai:riubu.ubu.es:10259/10006 2025-01-24 02:05:27.663 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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