Eigenvalue Asymptotics in a Twisted Waveguide
Spectral Theory
2018-10-31 v3 Analysis of PDEs
Abstract
We consider a twisted quantum wave guide, and are interested in the spectral analysis of the associated Dirichlet Laplacian H. We show that if the derivative of rotation angle decays slowly enough at infinity, then there is an infinite sequence of discrete eigenvalues lying below the infimum of the essential spectrum of H, and obtain the main asymptotic term of this sequence.
Cite
@article{arxiv.0808.1528,
title = {Eigenvalue Asymptotics in a Twisted Waveguide},
author = {Philippe Briet and Hynek Kovarik and Georgi Raikov and Eric Soccorsi},
journal= {arXiv preprint arXiv:0808.1528},
year = {2018}
}
Comments
18 pages, a misprint corrected