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
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.