Resurgent Analysis of the Witten Laplacian in One Dimension
Mathematical Physics
2010-04-29 v4 math.MP
Abstract
The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.
Cite
@article{arxiv.0809.0441,
title = {Resurgent Analysis of the Witten Laplacian in One Dimension},
author = {Alexander Getmanenko},
journal= {arXiv preprint arXiv:0809.0441},
year = {2010}
}
Comments
color figures; typos corrected, minor changes of notation made