On the asymptotic dynamics of 2-D magnetic quantum systems
Abstract:
In this work we provide results on the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may have the form $H = H_0 + W$ , where $H_0$ is rotationally symmetric, has dense point spectrum, and $W$ is a perturbation that breaks the rotational symmetry. In the latter case, we also give estimates for the growth of the angular momentum operator in time.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 10.2020 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000125600 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 29 S. |
| Serie | CRC 1173 Preprint ; 2020/30 |
| Projektinformation | SFB 1173, 258734477 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Schlagwörter | manetic Hamiltonians, dence point spectrum, dynamical localization |
| Relationen in KITopen |