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Microlocal properties of sheaves and complex WKB / Alexander Getmanenko and Dmitry Tamarkin.

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 356.Publication details: Paris : Societe mathematique de France, 2013.Description: ix, 110 p. : illustrations ; 24 cmISBN:
  • 9782856297728 (alk. paper)
Subject(s): DDC classification:
  • 510=4 23 As853
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-- Bibliography.
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510=4 As853 (Browse shelf(Opens below)) Available C26462
Total holds: 0

Includes bibliographical references (page 111).

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--
Bibliography.

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.

Text in English; abstract in both English and French.

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