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Alexander Getmanenko

  1. Resurgent Analysis of the Witten Laplacian in One Dimension.

    Втр, 12/22/2009 - 16:01 — SomNambul
    Authors: Alexander Getmanenko
    Subjects: Mathematical Physics
    Abstract

    The Witten Laplacian corresponding to a Morse function on the circle is
    studied using methods of complex WKB and resurgent analysis. It is shown that
    under certain assumptions the low-lying eigenvalues of the Witten Laplacian are
    resurgent.

  2. On eigenfunctions corresponding to a small resurgent eigenvalue.

    Пнд, 08/17/2009 - 18:30 — SomNambul
    Authors: Alexander Getmanenko
    Subjects: Classical Analysis and ODEs
    Abstract

    This article is devoted to some foundational questions of resurgent analysis
    as applied to the Schr\"odinger equation in one dimension.

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