Pseudomodes for non-self-adjoint Dirac operators
Mathematical Physics
2022-08-22 v2 Analysis of PDEs
Functional Analysis
math.MP
Spectral Theory
Abstract
Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudomodes of one-dimensional Dirac operators corresponding to large pseudoeigenvalues are constructed. This is a first systematic non-semi-classical approach, which results in substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including superexponential ones.
Cite
@article{arxiv.2011.09433,
title = {Pseudomodes for non-self-adjoint Dirac operators},
author = {David Krejcirik and Tho Nguyen Duc},
journal= {arXiv preprint arXiv:2011.09433},
year = {2022}
}
Comments
39 pages, the paper has been revised