Published December 1, 2000 | Version v1
Journal article

Exact WKB expansions for some potentials

  • 1. Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor (Slovenia)

Description

We find WKB expansions for the spectra of the three-dimensional isotropic harmonic oscillator and Eckart and Morse potentials. It is shown that for all these potentials the series are convergent and, when summed, yield the exact energy spectra. These results support our working hypothesis that the WKB series for the energy spectra are convergent for all one-dimensional solvable potentials and their sums yield the exact energies. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
33
Journal Issue
47
Journal Page Range
p. 8549-8557
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
32025479
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONVERGENCE; ENERGY SPECTRA; HARMONIC OSCILLATORS; SERIES EXPANSION; THREE-DIMENSIONAL CALCULATIONS; WKB APPROXIMATION
Descriptors DEC
SPECTRA