Griesemer, Marcel and Siedentop, Heinz (1999) A minimax principle for the eigenvalues in spectral gaps. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 60. pp. 490-500. ISSN 0024-6107, 1469-7750
Full text not available from this repository. (Request a copy)Abstract
A minimax principle is derived for the eigenvalues in the spectral gap of a possibly non-semibounded selfadjoint operator. It allows the nth eigenvalue of the Dirac operator with Coulomb potential from below to be bound by the nth eigenvalue of a semibounded Hamiltonian which is of interest in the context of stability of matter. As a second application it is shown that the Dirac operator with suitable non-positive potential has at least as many discrete eigenvalues as the Schrodinger operator with the same potential.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ELECTRON ATOMS; DIRAC-EQUATION; STABILITY; ENERGIES; FIELDS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Dec 2022 15:30 |
| Last Modified: | 20 Dec 2022 15:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48963 |
Actions (login required)
 |
View Item |
