Asymptotic completeness for multiparticle dispersive charge transfer models

DOI10.1006/jfan.1997.3119zbMath0891.35134OpenAlexW2081021723MaRDI QIDQ1376560

Lech Zielinski

Publication date: 19 July 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3119

zbMATH Keywords

Hamiltonianeigenvectorsheavy particlesmotions of a light quantum particle

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

The point-like limit for a NLS equation with concentrated nonlinearity in dimension three ⋮ Dispersive charge transfer model with long-range quantum interactions ⋮ Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential ⋮ Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$ ⋮ Endpoint Strichartz estimates for charge transfer Hamiltonians

Cites Work

• The N-particle scattering problem: asymptotic completeness for short- range systems
• A multi-channel scattering theory for some time dependent Hamiltonians, charge transfer problem
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Asymptotic completeness of long-range \(N\)-body quantum systems
• The Mourre Estimate for Dispersive N-Body Schrodinger Operators
• A Time Dependent Scattering Theory for a Class of Simply Characteristic Operators with Short Range Local Potentials
• A Proof of asymptotic completeness for n-body schrodinödinger operators
• Asymptotic Completeness of N-Particle Long-Range Scattering
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