Microlocal properties of sheaves and complex WKB

By Alexander Getmanenko

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Publish Date

2013

Publisher

Société mathématique de France

Language

eng

Pages

110

Description:

Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of the Laplace transformed Schrödinger equation with a small parameter. This partially proves the description of the Stokes phenomenon for WKB asymptotics predicted by Voros in 1983.

subjects: Sheaf theory, Analytic continuation, WKB approximation, Microlocal analysis