IS THE LOWEST ORDER SUPERSYMMETRIC WKB APPROXIMATION EXACT FOR ALL SHAPE INVARIANT POTENTIALS

Citation
Dt. Barclay et al., IS THE LOWEST ORDER SUPERSYMMETRIC WKB APPROXIMATION EXACT FOR ALL SHAPE INVARIANT POTENTIALS, Physics letters. A, 183(4), 1993, pp. 263-266
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
183
Issue
4
Year of publication
1993
Pages
263 - 266
Database
ISI
SICI code
0375-9601(1993)183:4<263:ITLOSW>2.0.ZU;2-X
Abstract
It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape inva riant potentials. We show that this is not true for a new, recently di scovered class of shape invariant potentials and analyse the reasons u nderlying this breakdown of the usual proof.