New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. (English) Zbl 1193.81111

Summary: We use analogy between the three-body scattering problem and the diffraction problem of the plane wave by a system of semi-transparent half screens, and propose a new approach to the few-body scattering problem. The numerical results have been obtained for the case of the short-range non-negative pair potentials. The developed method allows a natural generalization to the case of long-range pair potentials.


81U10 \(n\)-body potential quantum scattering theory
34L25 Scattering theory, inverse scattering involving ordinary differential operators
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