Geodesic
On~the applicability of the quasiclassical approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 233-236

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A study is made of the applicability of the quasiclassical approximation for calculating the discrete spectrum of a Schrödinger equation. It is shown for potentials that are different from power laws that there exists a dimensionless parameter whose smallness guarantees that the quasiclassical spectrum is near the exact one for small $n$. 
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     author = {P. V. Elyutin and V. D. Krivchenkov},
     title = {On~the applicability of the quasiclassical approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1974},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a8/}
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P. V. Elyutin; V. D. Krivchenkov. On~the applicability of the quasiclassical approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 233-236. http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a8/