One-Dimensional Scattering of Fermions on δ-Impurities

Juan Mateos Guilarte; Jose M. Munoz-Castaneda; Irina Pirozhenko; Irina Pirozhenko; Lucia Santamaría-Sanz

doi:10.3389/fphy.2019.00109

Frontiers in Physics (Aug 2019)

One-Dimensional Scattering of Fermions on δ-Impurities

Juan Mateos Guilarte,
Jose M. Munoz-Castaneda,
Irina Pirozhenko,
Irina Pirozhenko,
Lucia Santamaría-Sanz

Affiliations

Juan Mateos Guilarte: Departamento de Física Fundamental and IUFFyM, University of Salamanca, Salamanca, Spain
Jose M. Munoz-Castaneda: Departamento de Física Teórica, Atómica y Óptica, Valladolid University, Valladolid, Spain
Irina Pirozhenko: Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
Irina Pirozhenko: Department of Fundamental Problems of Microworld Physics, Dubna State University, Dubna, Russia
Lucia Santamaría-Sanz: Departamento de Física Teórica, Atómica y Óptica, Valladolid University, Valladolid, Spain

DOI: https://doi.org/10.3389/fphy.2019.00109
Journal volume & issue: Vol. 7

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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