Microlocal properties of sheaves and complex WKB
Mathematical Physics
2012-04-04 v2 Analysis of PDEs
Classical Analysis and ODEs
math.MP
Abstract
Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of a Laplace transformed Schroedinger equation with a small parameter. This partially proves the description of the Stokes phenomenon for WKB asymptotics predicted by Voros in 1983.
Cite
@article{arxiv.1111.6325,
title = {Microlocal properties of sheaves and complex WKB},
author = {Alexander Getmanenko and Dmitry Tamarkin},
journal= {arXiv preprint arXiv:1111.6325},
year = {2012}
}
Comments
1) an assumption has been added to the main result (which still holds for an arbitrary polynomial potential); 2) references to related work by other authors have been added; 3) other minor corrections