Asymptotic completeness of certain four-body Schrödinger operators

DOI10.1016/0022-1236(86)90008-XzbMath0589.35032OpenAlexW2068778211MaRDI QIDQ1074013

George A. Hagedorn, Peter A. Perry

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90008-x

zbMATH Keywords

Schrödinger operatorsasymptotic completenessKato smoothness estimatesScattering theory

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Diffraction, scattering (78A45) (n)-body potential quantum scattering theory (81U10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (2)

A new proof of the propagation theorem for N-body quantum systems ⋮ Large time behaviour of some N-body systems

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• A new proof of the Mourre estimate
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Spectral analysis of N-body Schrödinger operators
• Abstract stationary theory of multichannel scattering
• Scattering theory and quadratic forms: On a theorem of Schechter
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Quadratic form techniques and the Balslev-Combes theorem
• Asymptotic Completeness for Classes of Two, Three, and Four Particle Schrodinger Operators
• Mathematical foundations of quantum scattering theory for multiparticle systems
• Asymptotic completeness for certain three‐body schrödinger operators
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