Geodesic
Oscillator with centrifugal barrier. Inverse problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 37-45

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Physical arguments are used to justify a method for choosing even solutions for an oscillator with barrier (well) $\lambda x^{-2}$. A rule for continuing solutions of the Schrödinger equation through this barrier is formulated. An integral Gel'fand–Levitan equation is obtained on the basis of this rule, and the inverse problem is solved in some special cases. 
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     author = {V. B. Gostev and A. R. Frenkin},
     title = {Oscillator with centrifugal barrier. {Inverse} problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a6/}
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V. B. Gostev; A. R. Frenkin. Oscillator with centrifugal barrier. Inverse problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 37-45. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a6/