One-dimensional scattering of fermions in double Dirac delta potentials

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...

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Detalles Bibliográficos
Autor: Santamaría Sanz, Lucía
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Universidad de Burgos (UBU)
Repositorio:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/10006
Acceso en línea:http://hdl.handle.net/10259/10006
Access Level:acceso abierto
Palabra clave:Física
Matemáticas
Physics
Mathematics
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spelling One-dimensional scattering of fermions in double Dirac delta potentialsSantamaría Sanz, LucíaFísicaMatemáticasPhysicsMathematicsThe 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).IOP Publishing202520252023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/10259/10006reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)instname:Universidad de Burgos (UBU)InglésJournal of Physics A: Mathematical and Theoretical. 2023, V. 56, n. 38, p. 385201https://doi.org/10.1088/1751-8121/acef0dinfo:eu-repo/semantics/openAccessoai:riubu.ubu.es:10259/100062026-05-28T07:56:11Z
dc.title.none.fl_str_mv One-dimensional scattering of fermions in double Dirac delta potentials
title One-dimensional scattering of fermions in double Dirac delta potentials
spellingShingle One-dimensional scattering of fermions in double Dirac delta potentials
Santamaría Sanz, Lucía
Física
Matemáticas
Physics
Mathematics
title_short One-dimensional scattering of fermions in double Dirac delta potentials
title_full One-dimensional scattering of fermions in double Dirac delta potentials
title_fullStr One-dimensional scattering of fermions in double Dirac delta potentials
title_full_unstemmed One-dimensional scattering of fermions in double Dirac delta potentials
title_sort One-dimensional scattering of fermions in double Dirac delta potentials
dc.creator.none.fl_str_mv Santamaría Sanz, Lucía
author Santamaría Sanz, Lucía
author_facet Santamaría Sanz, Lucía
author_role author
dc.subject.none.fl_str_mv Física
Matemáticas
Physics
Mathematics
topic Física
Matemáticas
Physics
Mathematics
description 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).
publishDate 2023
dc.date.none.fl_str_mv 2023
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10259/10006
url http://hdl.handle.net/10259/10006
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Physics A: Mathematical and Theoretical. 2023, V. 56, n. 38, p. 385201
https://doi.org/10.1088/1751-8121/acef0d
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)
instname:Universidad de Burgos (UBU)
instname_str Universidad de Burgos (UBU)
reponame_str Repositorio Institucional de la Universidad de Burgos (RIUBU)
collection Repositorio Institucional de la Universidad de Burgos (RIUBU)
repository.name.fl_str_mv
repository.mail.fl_str_mv
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