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The Landau Hamiltonian with delta-potentials supported on curves
Multi angle
Authors : Behrndt, Jussi (Author of the conference)
CIRM (Publisher )
47A55 - Perturbation theory
47N50 - Applications in quantum physics
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis
CIRM (Publisher )
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Abstract :
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.
Keywords : Landau Hamiltonian; singular perturbation; Berezin-Toeplitz operator; Laguerre polynomials
MSC Codes : This talk is based on joint works with P. Exner, M. Holzmann, V. Lotoreichik, and G. Raikov.
Keywords : Landau Hamiltonian; singular perturbation; Berezin-Toeplitz operator; Laguerre polynomials
47A55 - Perturbation theory
47N50 - Applications in quantum physics
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/02/2024 Conference Date : 18/01/2024 Subseries : Research talks arXiv category : Spectral Theory ; Mathematical Physics ; Analysis of PDEs ; Functional Analysis Mathematical Area(s) : Analysis and its Applications ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:39:37 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-01-18_Behrndt.mp4 
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Information on the Event
Event Title : Spectral Analysis for Quantum Hamiltonians / Analyse Spectrale pour des Hamiltoniens QuantiquesEvent Organizers : Briet, Philippe ; Bruneau, Vincent ; Miranda, Pablo ; Taarabt, Amal Dates : 15/01/2024 - 19/01/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/2985.html
Citation Data
DOI : 10.24350/CIRM.V.20126503Cite this video as: Behrndt, Jussi (2024). The Landau Hamiltonian with delta-potentials supported on curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20126503 URI : http://dx.doi.org/10.24350/CIRM.V.20126503 |
See Also
- [Multi angle] Spectral analysis in sheared waveguides / Author of the conference Verri, Alessandra.
- [Multi angle] Spectral asymptotics of the one-particle density matrix for the Coulombic multi-particle systems / Author of the conference Sobolev, Alexander.
- [Multi angle] Boundary states of the magnetic Robin Laplacian / Author of the conference Raymond, Nicolas.
- [Multi angle] Georgi's game of twist / Author of the conference Krejcirik, David.
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
