Continuity of Weighted Dirac Spectra
Spectral Theory
2026-04-14 v2
Abstract
For the weighted Dirac eigenvalue problem, we show that the two-sided weighted spectrum depends continuously on the weight under continuous deformations within a uniformly elliptic class. Moreover, for differentiable families of weights we obtain a quantitative Lipschitz estimate for the full spectrum in the arsinh--metric, based on a weighted Hellmann--Feynman variational identity.
Cite
@article{arxiv.2604.02195,
title = {Continuity of Weighted Dirac Spectra},
author = {Zixuan Qiu and Ruijun Wu},
journal= {arXiv preprint arXiv:2604.02195},
year = {2026}
}
Comments
24 pages, 2 figures