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Microlocal properties of sheaves and complex WKB

Author: Alexander Getmanenko; Dmitry Tamarkin
Publisher: Paris : Société mathématique de France, 2013. ©2013
Series: Astérisque, 356.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
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.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alexander Getmanenko; Dmitry Tamarkin
ISBN: 9782856297728 2856297722
OCLC Number: 873990566
Language Note: Text in English; abstract in both English and French.
Description: ix, 110 pages, 1 unnumbered page : illustrations ; 24 cm.
Contents: 1. Introduction --
2. Conventions and notations --
3. Statement of the problem and main results --
4. Orthogonality criterion --
a simplified version --
5. Orthogonality criterion for a generalized strip --
6. Proof of theorem 3.4 --
7. Identification of Phi [superscript] kappa and Psi [superscript] kappa.
Series Title: Astérisque, 356.
Responsibility: Alexander Getmanenko & Dmitry Tamarkin.

Abstract:

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.

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