Low-energy spectrum of Toeplitz operators with a miniwell
Résumé
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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