Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
Mathematical Physics
2020-01-22 v2 Analysis of PDEs
math.MP
Spectral Theory
Abstract
Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered. The absence of the point as well as of the singular continuous spectrum is proved.
Keywords
Cite
@article{arxiv.1906.05617,
title = {Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide},
author = {Philippe Briet and Jaroslav Dittrich and David Krejcirik},
journal= {arXiv preprint arXiv:1906.05617},
year = {2020}
}
Comments
11 pages