TY - JOUR

T1 - On the asymptotic behavior in the scattering problem for several charged quantum particles interacting via repulsive pair potentials

AU - Koptelov, Ya Yu

AU - Levin, S. B.

N1 - Funding Information: ACKNOWLEDGMENTS This work was supported in part by the Russian Foundation for Basic Research (project no. 2012-1.5-12-000-1003-016). It was also funded by a grant (no. 357.2012.1) for support of leading scientific schools.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84899761240&partnerID=8YFLogxK

U2 - 10.1134/S1063778814040036

DO - 10.1134/S1063778814040036

M3 - Article

VL - 77

SP - 528

EP - 536

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 4

ER -