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On the exact bound of the Coulomb potential with respect to the Dirac operator

✍ Scribed by K. R. Parthasarathy


Publisher
Springer
Year
1978
Tongue
English
Weight
92 KB
Volume
2
Category
Article
ISSN
0377-9017

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On the Eigenvalues of Operators with Gap
✍ 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