On the inverse problem for the scattering theory of charged particles when there is a~linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 466-474
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A generalized algebraic variant is proposed for solving the inverse problem of the potential scattering of charged particles for the case when the initial scattering data are taken in the presence of a linear relationship between the energy $E$, the square of the orbital angular momentum $l$ and the Coulomb coupling constant $a$. Expressions are obtained for constructing a central $E$-, $l$-, and $a$-independent potential corresponding to a Jost
function characterized by rationality with respect to the parameters $E$, $l$, and $a$.
@article{TMF_1986_69_3_a11,
author = {M. N. Popushoi},
title = {On the inverse problem for the scattering theory of charged particles when there is a~linear relationship between the energy, the square of the orbital angular momentum, and the {Coulomb} coupling constant},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {466--474},
publisher = {mathdoc},
volume = {69},
number = {3},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a11/}
}
TY - JOUR AU - M. N. Popushoi TI - On the inverse problem for the scattering theory of charged particles when there is a~linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 466 EP - 474 VL - 69 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a11/ LA - ru ID - TMF_1986_69_3_a11 ER -
%0 Journal Article %A M. N. Popushoi %T On the inverse problem for the scattering theory of charged particles when there is a~linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant %J Teoretičeskaâ i matematičeskaâ fizika %D 1986 %P 466-474 %V 69 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a11/ %G ru %F TMF_1986_69_3_a11
M. N. Popushoi. On the inverse problem for the scattering theory of charged particles when there is a~linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 466-474. http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a11/