The Landau Hamiltonian with delta-potentials supported on curves | Vidéo | Carmin.tv

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The Landau Hamiltonian with delta-potentials supported on curves

By Jussi Behrndt

Appears in 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.

Information about the video

Date of recording 18/01/2024
Date of publication 01/02/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20126503
Cite this video 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

Domain(s)

Bibliography

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

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