Geodesic
An integral semiclassical method for calculating the spectra for centrally symmetric potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 463-480

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We develop a new approach to semiclassical quantization conditions that does not involve asymptotic expansions and is based on exact general properties of wave equations and their spectra. For centrally symmetric potentials, the quantization conditions depend only on a collection of integrals involving powers of the classical momentum. The energy levels calculated using these conditions are in good agreement with numerical data. 
@article{TMF_2000_124_3_a7,
     author = {A. A. Lobashev and N. N. Trunov},
     title = {An integral semiclassical method for calculating the spectra for centrally symmetric potentials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {463--480},
     publisher = {mathdoc},
     volume = {124},
     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a7/}
}
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A. A. Lobashev; N. N. Trunov. An integral semiclassical method for calculating the spectra for centrally symmetric potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 463-480. http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a7/