Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line

In this note the two dimensional Dirac operator [Formula: see text] with an electrostatic [Formula: see text] -shell interaction of strength [Formula: see text] supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths [Formula...

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Detalles Bibliográficos
Autores principales: Behrndt, Jussi, Holzmann, Markus, Tušek, Matěj
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9427928/
https://www.ncbi.nlm.nih.gov/pubmed/36062080
http://dx.doi.org/10.1007/s00020-022-02711-6
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author Behrndt, Jussi
Holzmann, Markus
Tušek, Matěj
author_facet Behrndt, Jussi
Holzmann, Markus
Tušek, Matěj
author_sort Behrndt, Jussi
collection PubMed
description In this note the two dimensional Dirac operator [Formula: see text] with an electrostatic [Formula: see text] -shell interaction of strength [Formula: see text] supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths [Formula: see text] the continuous spectrum of [Formula: see text] inside the spectral gap of the free Dirac operator [Formula: see text] collapses abruptly to a single point.
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spelling pubmed-94279282022-09-01 Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line Behrndt, Jussi Holzmann, Markus Tušek, Matěj Integr Equ Oper Theory Article In this note the two dimensional Dirac operator [Formula: see text] with an electrostatic [Formula: see text] -shell interaction of strength [Formula: see text] supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths [Formula: see text] the continuous spectrum of [Formula: see text] inside the spectral gap of the free Dirac operator [Formula: see text] collapses abruptly to a single point. Springer International Publishing 2022-08-30 2022 /pmc/articles/PMC9427928/ /pubmed/36062080 http://dx.doi.org/10.1007/s00020-022-02711-6 Text en © The Author(s) 2022, Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Behrndt, Jussi
Holzmann, Markus
Tušek, Matěj
Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title_full Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title_fullStr Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title_full_unstemmed Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title_short Spectral Transition for Dirac Operators with Electrostatic [Formula: see text] -Shell Potentials Supported on the Straight Line
title_sort spectral transition for dirac operators with electrostatic [formula: see text] -shell potentials supported on the straight line
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9427928/
https://www.ncbi.nlm.nih.gov/pubmed/36062080
http://dx.doi.org/10.1007/s00020-022-02711-6
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