WKB eigenmode construction for analytic Toeplitz operators

We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of nondegenerate wells. These quasimodes follow the WKB ansatz; the error is $O (e^{- c N})$ , where $c > 0$ and $N \to + \infty$ is the inverse semiclassical parameter.

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Keywords

semiclassical, Berezin–Toeplitz, Toeplitz, analytic, spectral theory, WKB

Mathematical Subject Classification

Primary: 32A25, 35A20, 35P10, 35Q40, 81Q20

Secondary: 32W50, 58J40, 58J50

Milestones

Received: 13 July 2021

Revised: 19 April 2022

Accepted: 26 August 2022

Published: 26 June 2023

Authors

Alix Deleporte
Université de Strasbourg, CNRS, IRMA UMR 7501, F-67000 Strasbourg, France	Institut für Mathematik Universität Zürich, Zürich	Université Paris-Saclay, CNRS Laboratoire de mathématiques d’Orsay, F-91405 Orsay France

Vol. 5, No. 2, 2023

Alix Deleporte

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors