2011/11/28 by Alexander Getmanenko, Getmanenko, Alexander, Dmitry Tamarkin +1
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.AP #math.CA #math.MP
paper · pdf · doi:10.48550/arxiv.1111.6325
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
arxiv created 2012/04/03 · arxiv updated 2012/04/04
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.