Resurgent Analysis of the Witten Laplacian in One Dimension

Details Resurgent Analysis of the Witten Laplacian in One Dimension Resurgent Analysis of the Witten Laplacian in One Dimension

2008-09-02

arxiv.org/abs/0809.0441v4

Physics

Mathematical Physics

color figures; typos corrected, minor changes of notation made

Scientific paper

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.

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