Construction of two-dimensional Schr\"odinger operator with given scattering amplitude at fixed energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 234-240
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The classical necessary properties of the scattering amplitude (reciprocity and unitarity) are, provided its $L_2$ norm is small, sufficient for the existence of a two-dimensional Schrödinger operator with the given scattering amplitude at fixed energy.
@article{TMF_1986_66_2_a7,
author = {R. G. Novikov},
title = {Construction of two-dimensional {Schr\"odinger} operator with given scattering amplitude at fixed energy},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {234--240},
publisher = {mathdoc},
volume = {66},
number = {2},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a7/}
}
TY - JOUR AU - R. G. Novikov TI - Construction of two-dimensional Schr\"odinger operator with given scattering amplitude at fixed energy JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 234 EP - 240 VL - 66 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a7/ LA - ru ID - TMF_1986_66_2_a7 ER -
%0 Journal Article %A R. G. Novikov %T Construction of two-dimensional Schr\"odinger operator with given scattering amplitude at fixed energy %J Teoretičeskaâ i matematičeskaâ fizika %D 1986 %P 234-240 %V 66 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a7/ %G ru %F TMF_1986_66_2_a7
R. G. Novikov. Construction of two-dimensional Schr\"odinger operator with given scattering amplitude at fixed energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 234-240. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a7/