Alexander Getmanenko, Dmitry Tamarkin
Published 2011-11-28, updated 2012-04-03Version 2
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.
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
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