Geometric methods in scattering theory of the charge transfer model

DOI10.1215/S0012-7094-91-06212-5zbMath0732.35055OpenAlexW1502534488MaRDI QIDQ808315

Ulrich Wüller

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06212-5

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum scattering theory (81U99)

Related Items

Charge transfer model and three body-scattering, Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential, Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$, Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data, Endpoint Strichartz estimates for charge transfer Hamiltonians

Cites Work

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• The existence of wave operators in scattering theory
• On the absence of positive eigenvalues for one-body Schrödinger operators
• Quantum-mechanical scattering theory for short-range and Coulomb interactions