Scattering Properties and Dispersion Estimates for a One-Dimensional Discrete Dirac Equation
Spectral Theory
2022-04-11 v2 Mathematical Physics
math.MP
Abstract
We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning scattering for the corresponding perturbed Dirac operators which are of independent interest. Most notably, we show that the reflection and transmission coefficients belong to the Wiener algebra.
Cite
@article{arxiv.2001.08445,
title = {Scattering Properties and Dispersion Estimates for a One-Dimensional Discrete Dirac Equation},
author = {Elena Kopylova and Gerald Teschl},
journal= {arXiv preprint arXiv:2001.08445},
year = {2022}
}
Comments
17 pages