WKB eigenmode construction for analytic Toeplitz operators

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Pure and applied analysis

سال: 2023

ISSN: ['2578-5893', '2578-5885']

DOI: https://doi.org/10.2140/paa.2023.5.213