Energy Dependent Boundary Conditions and the Few-Body Scattering Problem

DOI10.1142/S0129055X97000300zbMath0896.70005OpenAlexW2150541598MaRDI QIDQ4365481

Pavel Kurasov

Publication date: 15 December 1997

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

Full work available at URL: https://doi.org/10.1142/s0129055x97000300

zbMATH Keywords

functional equationscattering matrixanalytic functionsdiffraction problem in sectorselfadjoint model operatorSommerfeld-Maluzhinetz representation

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Mechanics of particles and systems (70-XX)

Related Items (2)

Gauge fields, point interactions and few-body problems in one dimension ⋮ Many body problems with ``spin-related contact interactions

Cites Work

• Propagation estimates for \(N\)-body Schrödinger operators
• Structures of S-matrices for three body Schrödinger operators
• Zero-range potentials with internal structures and the inverse scattering problem
• Operator methods for inverse scattering on the real line
• The theory of extensions and explicitly-soluble models
• Energy forms, Hamiltonians, and distorted Brownian paths
• Inverse scattering on the line
• BOUNDARY CONDITIONS ON THIN MANIFOLDS AND THE SEMIBOUNDEDNESS OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR WITH POINTWISE POTENTIAL
• The Essential Spectrum of Some Matrix Operators
• SMOOTHNESS OF N-BODY SCATTERING AMPLITUDES
• Study of Exactly Soluble One-Dimensional N-Body Problems

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