Microlocal properties of sheaves and complex WKB
By: Alexander Getmanenko & Dmitry Tamarkin
Contributors: Tamarkin, Dmitry, author
Series: Astérisque -- 356; Astérisque -- 356.
Publisher: Société mathématique de France
Published: 2013
Place of publication: Paris
Language: eng
Number of pages: 110
ISBN-13: 9782856297728
Copyright date: 2013
Subjects: Sheaf theory; Analytic continuation; WKB approximation; Microlocal analysis
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.
Notes: Includes bibliographical references (page 111).

Text in English; abstract in both English and French.
Table of contents: title: 1. Introduction; title: 2. Conventions and notations; title: 3. Statement of the problem and main results; title: 4. Orthogonality criterion - a simplified version; title: 5.Orthogonality criterion for a generalized strip; title: 6. Proof of theorem 3.4; title: 7. Identification of Phi [superscript] kappa and Psi [superscript] kappa.