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On the Dirac bag model in strong magnetic fields
Multi angle
Authors : Raymond, Nicolas (Author of the conference)
CIRM (Publisher )
32A70 - Functional analysis techniques
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
CIRM (Publisher )
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Abstract :
This talk is devoted to two-dimensional Dirac operators on bounded domains coupled to a magnetic field perpendicular to the plane. It will be focused on the MIT bag boundary condition. I will describe recent results about accurate asymptotic estimates for the low-lying (positive and négative) eigenvalues in the limit of a strong magnetic field.
This is a joint work with J.-M. Barbaroux, L. Le Treust and E. Stockmeyer.
Keywords : Dirac operator; magnetic fields; semiclassics; infinite mass boundary condition
MSC Codes : This is a joint work with J.-M. Barbaroux, L. Le Treust and E. Stockmeyer.
Keywords : Dirac operator; magnetic fields; semiclassics; infinite mass boundary condition
32A70 - Functional analysis techniques
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/02/2021 Conference Date : 02/02/2021 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:44:21 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-02-02_Raymond.mp4 
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Information on the Event
Event Title : Mathematical Aspects of Physics with Non-Self-Adjoint Operators: 10 Years After / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints: 10 ans aprèsEvent Organizers : Boulton, Lyonell ; Krejcirik, David ; Siegl, Petr Dates : 01/02/2021 - 05/02/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2153.html
Citation Data
DOI : 10.24350/CIRM.V.19712003Cite this video as: Raymond, Nicolas (2021). On the Dirac bag model in strong magnetic fields. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19712003 URI : http://dx.doi.org/10.24350/CIRM.V.19712003 |
See Also
- [Multi angle] Controllability of infinite dimensional quantum systems based on Quantum Graphs / Author of the conference Pérez-Pardo, Juan Manuel.
- [Multi angle] Complications making amplitude equations in fluid mechanics / Author of the conference Drysdale, Catherine.
- [Virtualconference] Absence of eigenvalues of Schrödinger, Dirac and Pauli Hamiltonians via the method of multipliers / Author of the conference Cossetti, Lucrezia.
Bibliography
- BARBAROUX, J.-M., TREUST, Loïc Le, RAYMOND, Nicolas, et al. On the Dirac bag model in strong magnetic fields. arXiv preprint arXiv:2007.03242, 2020. - https://arxiv.org/abs/2007.03242
