English
The Landau Hamiltonian with delta-potentials supported on curves
Multi angle
Auteurs : Behrndt, Jussi (Auteur de la Conférence)
CIRM (Editeur )
47A55 - Perturbation theory
47N50 - Applications in quantum physics
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis
CIRM (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 01/02/2024 Date de captation : 18/01/2024 Sous collection : Research talks arXiv category : Spectral Theory ; Mathematical Physics ; Analysis of PDEs ; Functional Analysis Domaine : Analysis and its Applications ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:39:37 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-01-18_Behrndt.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Spectral Analysis for Quantum Hamiltonians / Analyse Spectrale pour des Hamiltoniens QuantiquesOrganisateurs de la rencontre : Briet, Philippe ; Bruneau, Vincent ; Miranda, Pablo ; Taarabt, Amal Dates : 15/01/2024 - 19/01/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/2985.html
Données de citation
DOI : 10.24350/CIRM.V.20126503Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Spectral analysis in sheared waveguides / Auteur de la Conférence Verri, Alessandra.
- [Multi angle] Spectral asymptotics of the one-particle density matrix for the Coulombic multi-particle systems / Auteur de la Conférence Sobolev, Alexander.
- [Multi angle] Boundary states of the magnetic Robin Laplacian / Auteur de la Conférence Raymond, Nicolas.
- [Multi angle] Georgi's game of twist / Auteur de la Conférence Krejcirik, David.
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
