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
Descripción
Sumario: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).