Abstract
We study the WKB method away from the short-wave limit. Incorporating the correct phase loss due to reflection at a classical turning point, in place of the usual choice $\ensuremath{\pi}/2$, can greatly improve the accuracy of the WKB wave function in the classically allowed region. For a repulsive ${1/x}^{2}$ potential this leads to far more accurate WKB wave functions that the usual Langer modification of the potential.
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