Two-dimensional low-energy scattering of a~quantum particle in the~summed field of Coulomb and power-law potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 280-299
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We study the two-dimensional scattering of a quantum particle by the force center acting on this particle via a superposition of a Coulomb potential and a power-law potential $V_0\,r^{-\beta}$ with the exponent $\beta\in (1,2)$. We find the explicit low-energy asymptotic forms of all partial phases and scattering amplitudes.
Keywords:
two-dimensional scattering, superposition of the Coulomb potential
and a power-law potential, low-energy asymptotics.
@article{TMF_2020_203_2_a8,
author = {V. V. Pupyshev},
title = {Two-dimensional low-energy scattering of a~quantum particle in the~summed field of {Coulomb} and power-law potentials},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {280--299},
publisher = {mathdoc},
volume = {203},
number = {2},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/}
}
TY - JOUR AU - V. V. Pupyshev TI - Two-dimensional low-energy scattering of a~quantum particle in the~summed field of Coulomb and power-law potentials JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2020 SP - 280 EP - 299 VL - 203 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/ LA - ru ID - TMF_2020_203_2_a8 ER -
%0 Journal Article %A V. V. Pupyshev %T Two-dimensional low-energy scattering of a~quantum particle in the~summed field of Coulomb and power-law potentials %J Teoretičeskaâ i matematičeskaâ fizika %D 2020 %P 280-299 %V 203 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/ %G ru %F TMF_2020_203_2_a8
V. V. Pupyshev. Two-dimensional low-energy scattering of a~quantum particle in the~summed field of Coulomb and power-law potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 280-299. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a8/