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The Landau Hamiltonian with delta-potentials supported on curves

De Jussi Behrndt

Apparaît dans la collection : Spectral Analysis for Quantum Hamiltonians / Analyse Spectrale pour des Hamiltoniens Quantiques

The spectral properties of a singularly perturbed self-adjoint Landau Hamiltonian in the plane with a delta-potential supported on a finite curve are studied. After a general discussion of the qualitative spectral properties of the perturbed Landau Hamiltonian and its resolvent, one of our main objectives is a local spectral analysis near the Landau levels. This talk is based on joint works with P. Exner, M. Holzmann, V. Lotoreichik, and G. Raikov.

Informations sur la vidéo

Date de captation 18/01/2024
Date de publication 01/02/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20126503
Citer cette vidéo Behrndt, Jussi (18/01/2024). The Landau Hamiltonian with delta-potentials supported on curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20126503
URL https://dx.doi.org/10.24350/CIRM.V.20126503

Domaine(s)

Bibliographie

BEHRNDT, Jussi, HOLZMANN, Markus, LOTOREICHIK, Vladimir, et al. The fate of Landau levels under d-interactions. Journal of Spectral Theory, 2022, vol. 12, no 3. - https://doi.org/10.4171/JST/422
BEHRNDT, Jussi, EXNER, Pavel, HOLZMANN, Markus, et al. The Landau Hamiltonian with δ-potentials supported on curves. Reviews in Mathematical Physics, 2020, vol. 32, no 04, p. 2050010. - https://doi.org/10.1142/S0129055X20500105

Codes MSC

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