Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?
D. T. Barclay, Avinash Khare, U. Sukhatme
Abstract
It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape invariant potentials. We show that this is not true for a new, recently discovered class of shape invariant potentials and analyse the reasons underlying this breakdown of the usual proof.
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