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On the asymptotic behavior in the scattering problem for several charged quantum particles interacting via repulsive pair potentials
Authors:Ya Yu Koptelov  S B Levin
Institution:1. Department ofMathematical and Computational Physics, St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Abstract:The ansatz proposed earlier by Buslaev and Levin Funct. Anal. Appl. 46, 147 (2012)] for describing the leading order in the asymptotic behavior of continuum eigenfunctions in the scattering problem for three charged quantum particles is extended to the system of n charged quantum particles of identical mass and identical charge. It is shown that the proposed ansatz generates a fast decreasing (faster than the potential) discrepancy of the Schrödinger equation for a set of asymptotic configurations.
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