High-energy behavior of total scattering cross sections for 3-body quantum systems

DOI10.2977/PRIMS/1195166575zbMath0847.35097OpenAlexW2022245898MaRDI QIDQ1318888

Hiroshi T. Ito

Publication date: 3 May 1994

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/1195166575

zbMATH Keywords

asymptotic behavior of the total scattering cross section

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Related Items (1)

Charge transfer model and three body-scattering

Cites Work

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• Born series for (2 cluster) \(\Delta\) (2 cluster) scattering of two, three, and four particle Schrödinger operators
• Finite total cross-sections in nonrelativistic quantum mechanics
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Semi-classical asymptotics for total scattering cross sections of 3-body systems
• Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
• Propagation Estimates for Schrodinger-Type Operators
• On three-body scattering cross sections

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