Fractional exponential decay in the forbidden region for Toeplitz operators
Spectral Theory
2020-01-23 v1
Abstract
We prove several results of concentration for eigenfunctions in Toeplitz quantization. With mild assumptions on the regularity, we prove that eigenfunctions are away from the corresponding level set of the symbol, where N is the inverse semiclassical parameter and depends on the regularity. As an application, we prove a precise bound for the free energy of spin systems at high temperatures, sharpening a result of Lieb.
Cite
@article{arxiv.2001.07921,
title = {Fractional exponential decay in the forbidden region for Toeplitz operators},
author = {Alix Deleporte},
journal= {arXiv preprint arXiv:2001.07921},
year = {2020}
}