Spectral enclosure estimates for non-self-adjoint Dirac operators
Spectral Theory
2025-11-25 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained which provide sharp spectral enclosure estimates. Importantly, a sufficient condition is obtained which ensures semiclassical spectral confinement to the real axis and a bounded subset of the imaginary axis of the spectral plane.
Cite
@article{arxiv.2504.02236,
title = {Spectral enclosure estimates for non-self-adjoint Dirac operators},
author = {Jeffrey Oregero},
journal= {arXiv preprint arXiv:2504.02236},
year = {2025}
}
Comments
14 pages, 3 figures