Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers
Abstract:
By developing the method of multipliers, we establish sufficient conditions on the magnetic field and the complex, matrix-valued electric potential, which guarantee that the corresponding system of Schrödinger operators has no point spectrum. In particular, this allows us to prove analogous results for Pauli operators under the same electromagnetic conditions and, in turn, as a consequence of the supersymmetric structure, also for magnetic Dirac operators.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 10.2020 |
| Sprache | Englisch |
| Identifikator | ISSN: 0010-3616, 1432-0916 KITopen-ID: 1000124715 |
| Erschienen in | Communications in mathematical physics |
| Verlag | Springer |
| Band | 379 |
| Heft | 2 |
| Seiten | 633–691 |
| Vorab online veröffentlicht am | 18.09.2020 |
| Nachgewiesen in | Dimensions OpenAlex Web of Science Scopus |