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arxiv: 0809.0441 · v4 · submitted 2008-09-02 · 🧮 math-ph · math.MP

Resurgent Analysis of the Witten Laplacian in One Dimension

classification 🧮 math-ph math.MP
keywords laplacianresurgentwittenanalysisassumptionscertaincirclecomplex
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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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