N-body quantum scattering theory in two Hilbert spaces. IV. Approximate equations

DOI10.1063/1.526374zbMath0599.47014OpenAlexW1969425399MaRDI QIDQ3733556

Colston Chandler, Archie G. Gibson

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526374

zbMATH Keywords

limiting absorption principlecoupled integral equations with compact kernelsFeshbach unified theory of nuclear reactionsPetryshyn theory of A-proper operatorstime-independent transition operators of N-body multichannel nonrelativistic quantum scattering theory

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Equations involving linear operators, with operator unknowns (47A62) Numerical solutions to equations with linear operators (65J10) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40)

Related Items (4)

N-body quantum scattering theory in two Hilbert spaces. VII. Real-energy limits ⋮ N-body quantum scattering theory in two Hilbert spaces. VI. Compactness conditions ⋮ N-body quantum scattering theory in two Hilbert spaces. V. Computation strategy ⋮ A new 𝒦-matrix approach to N-body scattering

Cites Work

• Unified theory of nuclear reactions
• N-body quantum scattering theory in two Hilbert spaces. III. Theory of approximations
• Abstract stationary theory of multichannel scattering
• Geometric methods in multiparticle quantum systems
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Relation between the projection operator formalism and the Faddeev theory
• On the perturbation of continuous spectra

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