WKB to all orders and accuracy of the semiclassical quantization

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dc.creatorRobnik, Marko
dc.creatorSalasnich, Luca
dc.date1996-08-08
dc.date.accessioned2026-07-07T09:07:57Z
dc.date.available2026-07-07T09:07:57Z
dc.descriptionWe perform a systematic WKB expansion to all orders for a one--dimensional system with potential $V(x)=U_0/\cos^2{(αx)}$. 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.
dc.description11 pages, latex, no figures, Preprint CAMTP/96-5, July 1996, submitted to J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/chao-dyn/9608007
dc.identifierhttp://arxiv.org/abs/chao-dyn/9608007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150552
dc.subjectChaotic Dynamics
dc.titleWKB to all orders and accuracy of the semiclassical quantization
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