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arXiv:0809.0441 [math-ph]AbstractReferencesReviewsResources

Resurgent Analysis of the Witten Laplacian in One Dimension

Alexander Getmanenko

Published 2008-09-02, updated 2010-04-28Version 4

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.

Comments: color figures; typos corrected, minor changes of notation made
Categories: math-ph, math.MP
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