On the a.c. spectrum of 1D discrete Dirac operator
Mathematical Physics
2014-02-07 v2 math.MP
Spectral Theory
Abstract
In this paper, under some integrability condition, we prove that an electrical perturbation of the discrete Dirac operator has purely absolutely continuous spectrum for the one dimensional case. We reduce the problem to a non-self-adjoint Laplacian-like operator by using a spin up/down decomposition and rely on a transfermatrices technique.
Keywords
Cite
@article{arxiv.1207.3516,
title = {On the a.c. spectrum of 1D discrete Dirac operator},
author = {Sylvain Golenia and Tristan Haugomat},
journal= {arXiv preprint arXiv:1207.3516},
year = {2014}
}
Comments
Small changes. The article will be published in Methods of Functional Analysis and Topology