Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
Spectral Theory
2018-03-14 v1
Abstract
We analyze eigenvalues emerging from thresholds of the essential spectrum of one-dimensional Dirac operators perturbed by complex and non-symmetric potentials. In the general non-self-adjoint setting we establish the existence and asymptotics of weakly coupled eigenvalues and Lieb-Thirring inequalities. As physical applications we investigate the damped wave equation and armchair graphene nanoribbons.
Cite
@article{arxiv.1705.04833,
title = {Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications},
author = {Jean-Claude Cuenin and Petr Siegl},
journal= {arXiv preprint arXiv:1705.04833},
year = {2018}
}
Comments
16 pages