Asymptotic eigenfunctions for Schrödinger operators on a vector bundle

DOI10.1142/S0129055X20500208zbMath1473.35377arXiv1309.4178MaRDI QIDQ5149200

Elke Rosenberger, Matthias Ludewig

Publication date: 8 February 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4178

zbMATH Keywords

semi-classical analysisWKB approximationsemi-classical limitformal power-seriessemi-classical quasimodes

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

The tunneling effect for Schrödinger operators on a vector bundle

Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
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• Multiple wells in the semi-classical limit I
• AN ELEMENTARY APPROACH TO FORMAL WKB EXPANSIONS IN ℝⁿ
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• The principal axis theorem for holomorphic functions
• Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells
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