Exact WKB expansions for some potentials

Citation
Vg. Romanovski et M. Robnik, Exact WKB expansions for some potentials, J PHYS A, 33(47), 2000, pp. 8549-8557
Citations number
15
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
47
Year of publication
2000
Pages
8549 - 8557
Database
ISI
SICI code
0305-4470(200012)33:47<8549:EWEFSP>2.0.ZU;2-4
Abstract
We find WKB expansions for the spectra of the three-dimensional isotropic h armonic oscillator and Eckart and Morse potentials. It is shown that for al l these potentials the series are convergent and, when summed, yield the ex act energy spectra. These results support our working hypothesis that the W KB series for the energy spectra are convergent for all one-dimensional sol vable potentials and their sums yield the exact energies.