English

Waveguides with asymptotically diverging twisting

Spectral Theory 2015-04-27 v1 Mathematical Physics math.MP

Abstract

We provide a class of unbounded three-dimensional domains of infinite volume for which the spectrum of the associated Dirichlet Laplacian is purely discrete. The construction is based on considering tubes with asymptotically diverging twisting angle.

Keywords

Cite

@article{arxiv.1407.4028,
  title  = {Waveguides with asymptotically diverging twisting},
  author = {David Krejcirik},
  journal= {arXiv preprint arXiv:1407.4028},
  year   = {2015}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-22T05:04:35.600Z