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On the Eigenvalues of Operators with Gaps. Application to Dirac Operators

✍ Scribed by Jean Dolbeault; Maria J. Esteban; Eric Séré

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
173 KB
Volume
174
Category
Article
ISSN
0022-1236

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✦ Synopsis

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. 2000

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