Absence of embedded eigenvalues of Pauli and Dirac operators
Abstract:
We consider eigenvalues of the Pauli operator in $\mathbb{R}^3$ embedded in the continuous spectrum. In our main result we prove the absence of such eigenvalues above a threshold which depends on the asymptotic behavior of the magnetic and electric field at infinity. We show moreover that the decay conditions on the magnetic and electric field are sharp. Analogous results are obtained for purely magnetic Dirac operators.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 12.2023 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000166043 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 25 S. |
| Serie | CRC 1173 Preprint ; 2023/26 |
| Projektinformation | SFB 1173/3 (DFG, DFG KOORD, SFB 1173/3) |
| Externe Relationen | Siehe auch |
| Schlagwörter | Pauli operator, Dirac operator, embedded eigenvalues |
| Relationen in KITopen |