WKB to all orders and accuracy of the semiclassical quantization
Marko Robnik, Luca Salasnich
Abstract
We perform a systematic WKB expansion to all orders for a one--dimensional system with potential V(x)=U0/2(αx). We are able to sum the series to the exact energy spectrum. Then we show that any finite order WKB approximation fails to predict the individual energy levels within a vanishing fraction of the mean energy level spacing.
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