Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero

DOI10.1619/fesi.61.267zbMath1428.58023arXiv1604.08674OpenAlexW2963090818MaRDI QIDQ5234839

Keita Mikami

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08674

zbMATH Keywords

spectral propertiesasymptotic completenessscattering theory on manifoldshomogeneous potentials of order zero

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Hyperbolic equations on manifolds (58J45)

Cites Work

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• Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds
• Absence of quantum states corresponding to unstable classical channels
• Schrödinger operators with a nonspherical radiation condition
• Spectral and scattering theory for symbolic potentials of order zero.
• Generalized Fourier transform for Schrödinger operators with potentials of order zero
• Microlocal propagation near radial points and scattering for symbolic potentials of order zero
• Quantum Scattering for Potentials Independent of |x|: Asymptotic Completeness for High and Low Energies
• Spectral and Scattering Theory for Schrodinger Operators with Potentials Independent of | x |
• Time-dependent scattering theory for Schrödinger operators on scattering manifolds