Resurgent Analysis of the Witten Laplacian in One Dimension—II

DOI10.1619/FESI.56.121zbMath1286.34123arXiv1004.3110OpenAlexW2161959066MaRDI QIDQ5301086

Alexander Getmanenko

Publication date: 2 July 2013

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3110

zbMATH Keywords

WKBWitten Morse theoryResurgence

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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On exact-WKB analysis, resurgent structure, and quantization conditions ⋮ Pollicott-Ruelle spectrum and Witten Laplacians

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