Scattering theory for multistate Schrödinger operators

DOI10.1063/1.4989733zbMath1380.81422arXiv1711.04089OpenAlexW2770649111MaRDI QIDQ3134114

Sohei Ashida

Publication date: 8 February 2018

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

Full work available at URL: https://arxiv.org/abs/1711.04089

zbMATH Keywords

Mourre estimate

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resonance widths for the molecular predissociation
• On the mathematical theory of predissociation
• Absence of singular continuous spectrum for certain self-adjoint operators
• Propagation estimates for \(N\)-body Schrödinger operators
• On the Born-Oppenheimer expansion for polyatomic molecules
• Phase space tunneling in multistate scattering
• Generalized Fourier transform for Schrödinger operators with potentials of order zero
• Introduction to spectral theory. With applications to Schrödinger operators
• Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction
• Twisted pseudodifferential calculus and application to the quantum evolution of molecules
• Resonances of diatomic molecules in the born-oppenheimer approximation
• Molecular predissociation resonances below an energy level crossing
• Estimates on Complex Interactions in Phase Space
• Resonance widths in a case of multidimensional phase space tunneling
• Estimates on the molecular dynamics for the predissociation process

This page was built for publication: Scattering theory for multistate Schrödinger operators