Geodesic
Potentials that admit solution of the one-dimensional time-independent Schrödinger equation in terms of known functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 59-65 
A. M. Goncharenko; V. A. Karpenko; V. N. Mogilevich. Potentials that admit solution of the one-dimensional time-independent Schrödinger 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/
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     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},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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