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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 <>
Submitted on : Wednesday, March 7, 2018 - 1:43:01 PM
Last modification on : Tuesday, December 8, 2020 - 9:55:01 AM

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  • HAL Id : hal-01383403, version 3
  • ARXIV : 1610.05902

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Alix Deleporte. Low-energy spectrum of Toeplitz operators with a miniwell. 2017. ⟨hal-01383403v3⟩

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