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arXiv · 1901.07215

WKB eigenmode construction for analytic Toeplitz operators

Alix Deleporte
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Abstract

We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the error is O(exp(--cN)), where c > 0 and N $\rightarrow$ +$\infty$ is the inverse semiclassical parameter.

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Alix Deleporte. 2019-01-22. WKB eigenmode construction for analytic Toeplitz operators. https://doi.org/10.2140/paa.2023.5.213

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