Planar waveguide with "twisted" boundary conditions: discrete spectrum
Spectral Theory
2015-05-30 v1 Mathematical Physics
math.MP
Abstract
We consider a planar waveguide with combined Dirichlet and Neumann conditions imposed in a "twisted" way. We study the discrete spectrum and describe it dependence on the configuration of the boundary conditions. In particular, we show that in certain cases the model can have discrete eigenvalues emerging from the threshold of the essential spectrum. We give a criterium for their existence and construct them as convergent holomorphic series.
Cite
@article{arxiv.1110.3452,
title = {Planar waveguide with "twisted" boundary conditions: discrete spectrum},
author = {Denis Borisov and Giuseppe Cardone},
journal= {arXiv preprint arXiv:1110.3452},
year = {2015}
}