Widths of resonances above an energy-level crossing
From MaRDI portal
Publication:2219468
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Born-Oppenheimer expansion for polyatomic molecules
- Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction
- The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr–Sommerfeld quantization condition, revisited
- Twisted pseudodifferential calculus and application to the quantum evolution of molecules
- Résonances en limite semi-classique
- Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe
- Molecular predissociation resonances below an energy level crossing
- Interacting double-state scattering system
- Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
- An introduction to semiclassical and microlocal analysis
This page was built for publication: Widths of resonances above an energy-level crossing