Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
Spectral Theory
2020-08-28 v1 Mathematical Physics
Analysis of PDEs
math.MP
Quantum Physics
Abstract
We prove the absence of eigenvaues of the three-dimensional Dirac operator with non-Hermitian potentials in unbounded regions of the complex plane under smallness conditions on the potentials in Lebesgue spaces. Our sufficient conditions are quantitative and easily checkable.
Keywords
Cite
@article{arxiv.1809.07580,
title = {Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators},
author = {Luca Fanelli and David Krejcirik},
journal= {arXiv preprint arXiv:1809.07580},
year = {2020}
}
Comments
10 pages, 1 figure