Schmid, Harald and Tretter, Christiane (2004) Eigenvalue accumulation for Dirac operators with spherically symmetric potential. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 37 (36): PII S0305-. pp. 8657-8674. ISSN 0305-4470,
Full text not available from this repository. (Request a copy)Abstract
We consider Dirac operators H in R-3 with spherically symmetric potentials. The main result is a criterion for eigenvalue accumulation and non-accumulation at the endpoints -1 and 1 of the essential spectrum under rather weak assumptions on the potential. This result is proved by showing an analogous criterion for the associated radial Dirac operators H-kappa and by proving that for \kappa\ sufficiently large, each H-kappa does not have any eigenvalues in the interval (-1, 0] and [0, 1), respectively, of the gap (-1, 1) of the essential spectrum. For the latter, properties of solutions of certain Riccati differential equations depending on the parameter kappa and the spectral parameter are used.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPECTRAL PARAMETER; SYSTEMS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jun 2021 09:53 |
| Last Modified: | 28 Jun 2021 09:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37191 |
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