On the asymptotic behavior in the scattering problem for several charged quantum particles interacting via repulsive pair potentials

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 Schrodinger equation for a set of asymptotic configurations.