Stability of Dirac resonances
Mathematical Physics
2020-12-29 v1 math.MP
Abstract
We prove that the class of resonances of Dirac operators on the half-line with compactly supported potentials is closed with respect to perturbations. We also prove that the potential depends continuously on such perturbations. We show that similar results hold true for the Jost functions and Hermite-Biehler functions associated with Dirac operators.
Keywords
Cite
@article{arxiv.2012.13996,
title = {Stability of Dirac resonances},
author = {Dmitrii Mokeev},
journal= {arXiv preprint arXiv:2012.13996},
year = {2020}
}
Comments
17 pages