2010/04/19 by Alexander Getmanenko, Getmanenko, Alexander
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.CA #math.MP
paper · pdf · doi:10.48550/arxiv.1004.3110
exposition improved
openalex publication_date 2010/04/19 · arxiv created 2012/04/02 · arxiv updated 2012/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Witten Laplacian in one dimension is studied further by methods of resurgent analysis in order to approach Fukaya's conjectures relating WKB asymptotics and disc instantons. In this paper more precise connection formulae are presented, which allows the calculation of a subdominant exponential term in the hyperasymptotic expansion of a low-lying eigenvalue. Calculation of eigenfunctions corresponding to low-lying eigenvalues is presented in two examples.