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arXiv · 0909.4529

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

V. S. Buslaev·S. B. Levin·P. Neittaanmäki·T. Ojala
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Abstract

Basing on analogy between the three-body scattering problem and the diffraction problem of the plane wave (for the case of the short range pair potentials) by the system of six half transparent screens, we presented a new approach to the few-body scattering problem. The numerical results have been obtained for the case of the short range nonnegative pair potentials. The presented method allows a natural generalization to the case of the long range pair potentials.

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V. S. Buslaev, S. B. Levin, P. Neittaanmäki, T. Ojala. 2009-09-24. 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. https://arxiv.org/abs/0909.4529

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