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

Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T.

J. Phys. A, Math. Theor. 43, No. 28, Article ID 285205, 17 p. (2010).

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.

MSC:

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