Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?

Details Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ? Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?

1993-11-02

arxiv.org/abs/hep-th/9311011v1

Phys.Lett. A183 (1993) 263-266

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1016/0375-9601(93)90452-6

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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