Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction

DOI10.1016/j.jde.2015.11.015zbMath1347.35187OpenAlexW2280719213MaRDI QIDQ2634258

Setsuro Fujiié, Takuya Watanabe, André Martinez

Publication date: 8 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.015

zbMATH Keywords

Schrödinger operatorresonancesBorn-Oppenheimer approximationdifferential systemeigenvalue crossing

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalue problems for linear operators (47A75) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34)

Related Items (6)

Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction ⋮ Widths of resonances above an energy-level crossing ⋮ Resonance free domain for a system of Schrödinger operators with energy-level crossings ⋮ Molecular dynamics at an energy-level crossing ⋮ Eigenvalue splitting of polynomial order for a system of Schrödinger operators with energy-level crossing ⋮ Scattering theory for multistate Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resonance widths for the molecular predissociation
• Width of shape resonances for non globally analytic potentials
• On the mathematical theory of predissociation
• On the Born-Oppenheimer expansion for polyatomic molecules
• General lower bounds for resonances in one dimension
• Introduction to spectral theory. With applications to Schrödinger operators
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• 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
• Resonances of diatomic molecules in the born-oppenheimer approximation
• Estimates on Complex Interactions in Phase Space
• Resonance widths in a case of multidimensional phase space tunneling
• Mathematical Theory of Scattering Resonances
• Semiclassical resonances for a two-level Schrödinger operator with a conical intersection
• An introduction to semiclassical and microlocal analysis

This page was built for publication: Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction