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 nontrivial regions in ${\mathbb{R}}^2$ and ${\mathbb{R}}^3$ of tube or layer shapes with a zigzag type boundary using the corresponding properties of the Dirichlet Laplacian.

arXiv comment16 pages, no figures

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