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On the asymptotic dynamics of 2-D magnetic quantum systems

Cárdenas, Esteban; Hundertmark, Dirk; Stockmeyer, Edgardo; Wugalter, Semjon

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.

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Volltext §
DOI: 10.5445/IR/1000125600
Veröffentlicht am 03.11.2020
Cover der Publikation
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 KIT, Karlsruhe
Umfang 29 S.
Serie CRC 1173 Preprint ; 2020/30
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Schlagwörter manetic Hamiltonians, dence point spectrum, dynamical localization
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