Geodesic
Inverse problem of quantum mechanics for attractive potentials. The discrete spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 432-439

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The dependence of the attractive potentials of a central field on the characteristics of the discrete spectrum of the radial Schrödinger equation for unchanged spectral density of the continuum is investigated. The asymptotic $(r\rightarrow\infty)$ behavior of the corrections to short- and long-range original potentials is analyzed in different cases of changes in the elements of the spectral characteristics. 
@article{TMF_1984_59_3_a9,
     author = {V. B. Gostev and A. R. Frenkin},
     title = {Inverse problem of quantum mechanics for attractive potentials. {The} discrete spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {432--439},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a9/}
}
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V. B. Gostev; A. R. Frenkin. Inverse problem of quantum mechanics for attractive potentials. The discrete spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 432-439. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a9/