Asymptotic completeness for four-body Schrödinger operators with short- range interactions

DOI10.2977/PRIMS/1195167541zbMath0785.35071OpenAlexW2034313603MaRDI QIDQ2367108

Hideo Tamura

Publication date: 23 August 1993

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167541

zbMATH Keywords

asymptotic completeness for four quantum particlesphase space partition of unitySigal-Soffer approach

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10)

Cites Work

• Unnamed Item
• Propagation properties of quantum scattering states
• The N-particle scattering problem: asymptotic completeness for short- range systems
• A new proof of the propagation theorem for N-body quantum systems
• Spectral analysis of N-body Schrödinger operators
• Asymptotic completeness for three-body Schrödinger operators with short-range interactions
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Wave operators and similarity for some non-selfadjoint operators
• Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
• Asymptotic Completeness for Classes of Two, Three, and Four Particle Schrodinger Operators

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