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Low-energy spectrum of Toeplitz operators with a miniwell

Abstract : In the semiclassical limit, it is well-known that the first eigenvector of a Toeplitz operator concentrates on the minimal set of the symbol. In this paper, we give a more precise criterion for concentration in the case where the minimal set of the symbol is a submanifold, in the spirit of the " miniwell condition " of Helffer-Sjöstrand.
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https://hal.archives-ouvertes.fr/hal-01383403
Contributor : Alix Deleporte Connect in order to contact the contributor
Submitted on : Wednesday, March 7, 2018 - 1:43:01 PM
Last modification on : Sunday, June 26, 2022 - 2:35:51 AM

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Alix Deleporte. Low-energy spectrum of Toeplitz operators with a miniwell. Communications in Mathematical Physics, 2020, 378, pp.1587-1647. ⟨10.1007/s00220-020-03791-4⟩. ⟨hal-01383403v3⟩

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