Potentials that admit solution of the one-dimensional time-independent Schr\"odinger equation in terms of known functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 59-65
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It is shown that thereexist only two five-parameter potentials that admit solution of the Schrödinger equation in hypergeometric functions. An analysis establishes the connection between these potentials and ones known in the literature.
@article{TMF_1991_88_1_a8,
author = {A. M. Goncharenko and V. A. Karpenko and V. N. Mogilevich},
title = {Potentials that admit solution of the one-dimensional time-independent {Schr\"odinger} equation in terms of known functions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {59--65},
publisher = {mathdoc},
volume = {88},
number = {1},
year = {1991},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a8/}
}
TY - JOUR AU - A. M. Goncharenko AU - V. A. Karpenko AU - V. N. Mogilevich TI - Potentials that admit solution of the one-dimensional time-independent Schr\"odinger equation in terms of known functions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1991 SP - 59 EP - 65 VL - 88 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a8/ LA - ru ID - TMF_1991_88_1_a8 ER -
%0 Journal Article %A A. M. Goncharenko %A V. A. Karpenko %A V. N. Mogilevich %T Potentials that admit solution of the one-dimensional time-independent Schr\"odinger equation in terms of known functions %J Teoretičeskaâ i matematičeskaâ fizika %D 1991 %P 59-65 %V 88 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a8/ %G ru %F TMF_1991_88_1_a8
A. M. Goncharenko; V. A. Karpenko; V. N. Mogilevich. Potentials that admit solution of the one-dimensional time-independent Schr\"odinger equation in terms of known functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 59-65. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a8/