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- W4295142386 abstract "In this note, we describe our recent results on semiclassical measures for the Schr{o}dinger evolution on Zoll manifolds. We focus on the particular case of eigenmodes of the Schr{o}dinger operator on the sphere endowed with its canonical metric. We also recall the relation of this problem with the observability question from control theory. In particular, we exhibit examples of open sets and potentials on the 2-sphere for which observability fails for the evolution problem while it holds for the stationary one. Finally, we give some new results in the case where the Radon transform of the potential identically vanishes." @default.
- W4295142386 created "2022-09-11" @default.
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- W4295142386 date "2017-02-07" @default.
- W4295142386 modified "2023-10-12" @default.
- W4295142386 title "Observability and quantum limits for the Schrodinger equation on the sphere" @default.
- W4295142386 doi "https://doi.org/10.48550/arxiv.1702.02066" @default.
- W4295142386 hasPublicationYear "2017" @default.
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