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

Jean Dolbeault; Maria J. Esteban; Eric Séré

doi:10.1006/jfan.1999.3542

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arXiv · 2206.06327

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

Jean Dolbeault·Maria J. Esteban·Eric Séré

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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.

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BibTeX RIS

Jean Dolbeault, Maria J. Esteban, Eric Séré. 2022-06-09. On the eigenvalues of operators with gaps. Application to Dirac operators. https://doi.org/10.1006/jfan.1999.3542

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