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Quantum footprints of symplectic rigidity
Multi angle
Authors : Polterovich, Leonid (Author of the conference)
CIRM (Publisher )
53D50 - Geometric quantization
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
81R30 - Coherent states; squeezed states (quantum theory)
81S10 - Geometric quantization, symplectic methods (quantum theory)
CIRM (Publisher )
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Abstract :
We discuss interactions between quantum mechanics and symplectic topology including a link between symplectic displacement energy, a fundamental notion of symplectic dynamics, and the quantum speed limit, a universal constraint on the speed of quantum-mechanical processes.
Joint work with Laurent Charles.
Keywords : symplectic topology; displacement energy; quantum speed limit; dislocation; rigidity; flexibility; Berezin-Toeplitz quantization; fidelity
MSC Codes : Joint work with Laurent Charles.
Keywords : symplectic topology; displacement energy; quantum speed limit; dislocation; rigidity; flexibility; Berezin-Toeplitz quantization; fidelity
53D50 - Geometric quantization
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
81R30 - Coherent states; squeezed states (quantum theory)
81S10 - Geometric quantization, symplectic methods (quantum theory)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/10/2018 Conference Date : 08/10/2018 Subseries : Research talks arXiv category : Mathematical Physics ; Symplectic Geometry ; Quantum Physics Mathematical Area(s) : Mathematical Physics ; Geometry Format : MP4 (.mp4) - HD Video Time : 00:48:46 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-08_Polterovich.mp4 
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Information on the Event
Event Title : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"Event Organizers : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile Dates : 08/10/2018 - 12/10/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1867.html
Citation Data
DOI : 10.24350/CIRM.V.19464503Cite this video as: Polterovich, Leonid (2018). Quantum footprints of symplectic rigidity. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19464503 URI : http://dx.doi.org/10.24350/CIRM.V.19464503 |
See Also
- [Multi angle] Homogeneous vector bundles over abelian varieties / Author of the conference Brion, Michel.
- [Multi angle] Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld / Author of the conference Alekseev, Anton.
- [Multi angle] Geometric quantization of toric and semitoric systems / Author of the conference Miranda, Eva.
- [Post-edited] Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces / Author of the conference Boysal, Arzu.
Bibliography
- Charles, L., & Polterovich, L. (2018). Quantum speed limit versus classical displacement energy. Annales Henri Poincaré, 19(4), 1215-1257 - https://doi.org/10.1007/s00023-018-0649-7
