An integral semiclassical method for calculating the spectra for centrally symmetric potentials

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. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 3, pp. 463–480, September, 2000.