This article is cited in 6 papers

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

A. A. Lobashev, N. N. Trunov

D. I. Mendeleev Institute for Metrology

Abstract: 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.

Received: 17.01.2000
Revised: 09.03.2000

DOI: 10.4213/tmf651

 English version: Theoretical and Mathematical Physics, 2000, 124:3, 1250–1264

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