One-Dimensional Scattering of Fermions on δ-Impurities

One-Dimensional Scattering of Fermions on δ-Impurities

We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering states of a fermion distorted by a static background built from δ-function potentials. After introducing the most general Dirac-δ potential for the Dirac equation we distinguish between “mass-spike” and “electros...

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Main Authors: Juan Mateos Guilarte, Jose M. Munoz-Castaneda, Irina Pirozhenko, Lucia Santamaría-Sanz
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-08-01
Series:Frontiers in Physics
Subjects:
contact interactions
Dirac equation
Dirac delta
selfadjoint extensions
relativistic quantum mechanics
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00109/full
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spelling doaj-6bbdec1d51854774bf6aed242e3644932020-11-25T01:30:21ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-08-01710.3389/fphy.2019.00109461610One-Dimensional Scattering of Fermions on δ-ImpuritiesJuan Mateos Guilarte0Jose M. Munoz-Castaneda1Irina Pirozhenko2Irina Pirozhenko3Lucia Santamaría-Sanz4Departamento de Física Fundamental and IUFFyM, University of Salamanca, Salamanca, SpainDepartamento de Física Teórica, Atómica y Óptica, Valladolid University, Valladolid, SpainBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, RussiaDepartment of Fundamental Problems of Microworld Physics, Dubna State University, Dubna, RussiaDepartamento de Física Teórica, Atómica y Óptica, Valladolid University, Valladolid, SpainWe study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering states of a fermion distorted by a static background built from δ-function potentials. After introducing the most general Dirac-δ potential for the Dirac equation we distinguish between “mass-spike” and “electrostatic” δ-potentials. Differences in the spectra arising depending on the type of δ-potential are studied in deep detail.https://www.frontiersin.org/article/10.3389/fphy.2019.00109/fullcontact interactionsDirac equationDirac deltaselfadjoint extensionsrelativistic quantum mechanics
collection DOAJ
language English
format Article
sources DOAJ
author Juan Mateos Guilarte
Jose M. Munoz-Castaneda
Irina Pirozhenko
Irina Pirozhenko
Lucia Santamaría-Sanz
spellingShingle Juan Mateos Guilarte
Jose M. Munoz-Castaneda
Irina Pirozhenko
Irina Pirozhenko
Lucia Santamaría-Sanz
One-Dimensional Scattering of Fermions on δ-Impurities
Frontiers in Physics
contact interactions
Dirac equation
Dirac delta
selfadjoint extensions
relativistic quantum mechanics
author_facet Juan Mateos Guilarte
Jose M. Munoz-Castaneda
Irina Pirozhenko
Irina Pirozhenko
Lucia Santamaría-Sanz
author_sort Juan Mateos Guilarte
title One-Dimensional Scattering of Fermions on δ-Impurities
title_short One-Dimensional Scattering of Fermions on δ-Impurities
title_full One-Dimensional Scattering of Fermions on δ-Impurities
title_fullStr One-Dimensional Scattering of Fermions on δ-Impurities
title_full_unstemmed One-Dimensional Scattering of Fermions on δ-Impurities
title_sort one-dimensional scattering of fermions on δ-impurities
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2019-08-01
description We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering states of a fermion distorted by a static background built from δ-function potentials. After introducing the most general Dirac-δ potential for the Dirac equation we distinguish between “mass-spike” and “electrostatic” δ-potentials. Differences in the spectra arising depending on the type of δ-potential are studied in deep detail.
topic contact interactions
Dirac equation
Dirac delta
selfadjoint extensions
relativistic quantum mechanics
url https://www.frontiersin.org/article/10.3389/fphy.2019.00109/full
work_keys_str_mv AT juanmateosguilarte onedimensionalscatteringoffermionsondimpurities
AT josemmunozcastaneda onedimensionalscatteringoffermionsondimpurities
AT irinapirozhenko onedimensionalscatteringoffermionsondimpurities
AT irinapirozhenko onedimensionalscatteringoffermionsondimpurities
AT luciasantamariasanz onedimensionalscatteringoffermionsondimpurities
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