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^*

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	102
Number of pages	23
Journal	Letters in Mathematical Physics
Volume	112
Issue number	5
DOIs	https://doi.org/10.1007/s11005-022-01594-3
Publication status	Published - Oct 2022

Keywords

Dirac operator
Quantum waveguide
Spectral analysis
Zigzag boundary conditions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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

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title = "Dirac operator spectrum in tubes and layers with a zigzag type boundary",

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",

year = "2022",

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doi = "10.1007/s11005-022-01594-3",

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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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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

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

Abstract

Keywords

ASJC Scopus subject areas

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