On the eigenvalues of operators with gaps. Application to Dirac operators
Spectral Theory
2022-06-14 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like potential. The result is optimal for the Coulomb potential. An erratum is appended at the end of the tex.
Cite
@article{arxiv.2206.06327,
title = {On the eigenvalues of operators with gaps. Application to Dirac operators},
author = {Jean Dolbeault and Maria J. Esteban and Eric Séré},
journal= {arXiv preprint arXiv:2206.06327},
year = {2022}
}
Comments
The main goal of this submission is to add an erratum to the old paper published in 2000