scientific article

zbMath0558.47007MaRDI QIDQ3223394

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Publication date: 1984

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1984__41_1_79_0

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zbMATH Keywords

position operatorabsence of the singular continuous spectrumasymptotic evolutionKato-Lavine smoothness theorypower-decay law in time for the two-body Schrödinger evolution groupstrong local decaythree-body scattering in quantum mechanicstime dependent proof of asymptotic completeness

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Large time behaviour of some N-body systems ⋮ Unnamed Item

Cites Work

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• Asymptotic evolution of certain observables and completeness in Coulomb scattering. I
• Propagation properties of quantum scattering states
• Link between the geometrical and the spectral transformation approaches in scattering theory
• On Enss' approach to scattering theory
• Mellin transforms and scattering theory I. Short range potentials
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Geometric methods in multiparticle quantum systems
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
• Asymptotic completeness for certain three‐body schrödinger operators

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