Microlocal properties of sheaves and complex WKB

Physics – Mathematical Physics

Scientific paper

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1) an assumption has been added to the main result (which still holds for an arbitrary polynomial potential); 2) references to

Scientific paper

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.

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