Dirac operator spectrum in tubes and layers with a zigzag type boundary

Pavel Exner; Markus Holzmann

doi:10.1007/s11005-022-01594-3

Dirac operator spectrum in tubes and layers with a zigzag type boundary

Pavel Exner, Markus Holzmann^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

We derive a number of spectral results for Dirac operators in geometrically nontrivial
regions in R2 and R3 of tube or layer shapes with a zigzag-type boundary using the
corresponding properties of the Dirichlet Laplacian.

Originalsprache	englisch
Aufsatznummer	102
Seitenumfang	23
Fachzeitschrift	Letters in Mathematical Physics
Jahrgang	112
Ausgabenummer	5
DOIs	https://doi.org/10.1007/s11005-022-01594-3
Publikationsstatus	Veröffentlicht - Okt. 2022

ASJC Scopus subject areas

Statistische und nichtlineare Physik
Mathematische Physik

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10.1007/s11005-022-01594-3Lizenz: CC BY 4.0

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abstract = "We derive a number of spectral results for Dirac operators in geometrically nontrivialregions in R2 and R3 of tube or layer shapes with a zigzag-type boundary using thecorresponding properties of the Dirichlet Laplacian.",

keywords = "Dirac operator, Quantum waveguide, Spectral analysis, Zigzag boundary conditions",

author = "Pavel Exner and Markus Holzmann",

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AU - Holzmann, Markus

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AB - We derive a number of spectral results for Dirac operators in geometrically nontrivialregions in R2 and R3 of tube or layer shapes with a zigzag-type boundary using thecorresponding properties of the Dirichlet Laplacian.

KW - Dirac operator

KW - Quantum waveguide

KW - Spectral analysis

KW - Zigzag boundary conditions

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Dirac operator spectrum in tubes and layers with a zigzag type boundary

Abstract

ASJC Scopus subject areas

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