Widths of resonances above an energy-level crossing

DOI10.1016/J.JFA.2020.108918zbMath1472.35253arXiv1904.12511OpenAlexW3115535388MaRDI QIDQ2219468

Setsuro Fujiié, Takuya Watanabe, André Martinez

Publication date: 20 January 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12511

zbMATH Keywords

resonancesBorn-Oppenheimer approximationeigenvalue crossing

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Semiclassical resonances generated by crossings of classical trajectories ⋮ Resonance free domain for a system of Schrödinger operators with energy-level crossings ⋮ Landau-Zener formula in a ``non-adiabatic regime for avoided crossings ⋮ Eigenvalue splitting of polynomial order for a system of Schrödinger operators with energy-level crossing

Uses Software

• DLMF

Cites Work

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