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Application of commutation relations to determine the eigenvalues of operators

✍ Scribed by A. A. Zaitsev

Book ID
112465397
Publisher
SP MAIK Nauka/Interperiodica
Year
1970
Tongue
English
Weight
323 KB
Volume
5
Category
Article
ISSN
0040-5779

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πŸ“œ SIMILAR VOLUMES

On the Eigenvalues of Operators with Gap
On the Eigenvalues of Operators with Gaps. Application to Dirac Operators
✍ Jean Dolbeault; Maria J. Esteban; Eric SΓ©rΓ© πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 173 KB

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 p