WKB eigenmode construction for analytic Toeplitz operators
Analysis of PDEs
2023-06-28 v2 Mathematical Physics
math.MP
Spectral Theory
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 + is the inverse semiclassical parameter.
Keywords
Cite
@article{arxiv.1901.07215,
title = {WKB eigenmode construction for analytic Toeplitz operators},
author = {Alix Deleporte},
journal= {arXiv preprint arXiv:1901.07215},
year = {2023}
}