Molecular dynamics at an energy-level crossing

DOI10.1016/J.JDE.2019.06.004zbMath1423.35270arXiv1812.08724OpenAlexW2903638402MaRDI QIDQ2272503

Yanyan Li

Publication date: 10 September 2019

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

Full work available at URL: https://arxiv.org/abs/1812.08724

zbMATH Keywords

resonancessurvival probabilityBorn-Oppenheimer approximationeigenvalue crossingquantum evolution

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Eigenvalue problems for integral equations (45C05) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (2)

Applications of resonance theory without analyticity assumption ⋮ Differential equations of quantum mechanics

Cites Work

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• On the Born-Oppenheimer expansion for polyatomic molecules
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• Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction
• Resonances, metastable states and exponential decay laws in perturbation theory
• Twisted pseudodifferential calculus and application to the quantum evolution of molecules
• Estimates on the molecular dynamics for the predissociation process
• Resonance theory for Schrödinger operators
• An introduction to semiclassical and microlocal analysis
• Exponential decay in the Stark effect

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