English

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

Spectral Theory 2022-10-26 v1 Mathematical Physics math.MP Quantum Physics

Abstract

We derive a number of spectral results for Dirac operators in geometrically nontrivial regions in R2\mathbb{R}^2 and R3\mathbb{R}^3 of tube or layer shapes with a zigzag type boundary using the corresponding properties of the Dirichlet Laplacian.

Keywords

Cite

@article{arxiv.2112.08109,
  title  = {Dirac operator spectrum in tubes and layers with a zigzag type boundary},
  author = {Pavel Exner and Markus Holzmann},
  journal= {arXiv preprint arXiv:2112.08109},
  year   = {2022}
}

Comments

16 pages, no figures

R2 v1 2026-06-24T08:18:25.039Z