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. An erratum is appended at the end of the tex.

The main goal of this submission is to add an erratum to the old paper published in 2000

References in corpus (3)

• On the eigenvalues of operators with gaps. Application to Dirac operators
• Domains for Dirac-Coulomb min-max levels
• On the minimax principle for Coulomb-Dirac operators

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