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

Autor:	Dolbeault, Jean, Esteban, Maria J., Séré, Eric
Rok vydání:	2022
Předmět:	Mathematics - Spectral Theory Mathematical Physics Mathematics - Analysis of PDEs 81Q10 49R05 47A75 35Q40 35Q75
Zdroj:	J. Funct. Anal. 174 (2000), p. 208-226
Druh dokumentu:	Working Paper
DOI:	10.1006/jfan.1999.3542
Popis:	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. Comment: The main goal of this submission is to add an erratum to the old paper published in 2000
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.06327 Zobrazit plný text záznamu View this record from Arxiv