On the eigenvalues of operators with gaps. Application to Dirac operators

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.

Cite this paper

@inproceedings{Dolbeault2006OnTE, title={On the eigenvalues of operators with gaps. Application to Dirac operators}, author={Jean Dolbeault and Maria J. Esteban and {\'E}. S{\'e}r{\'e}}, year={2006} }