The Accuracy of Semiclassical Quantization for Integrable Systems

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dc.creatorRahav, Saar
dc.creatorAgam, Oded
dc.creatorFishman, Shmuel
dc.date1999-05-24
dc.date.accessioned2026-07-07T02:35:45Z
dc.date.available2026-07-07T02:35:45Z
dc.descriptionThe eigenvalues of the Hyperspherical billiard are calculated in the semiclassical approximation. The eigenvalues where this approximation fails are identified and found to be related to caustics that approach the wall of the billiard. The fraction of energy levels for which the semiclassical error is larger than some given value is calculated analytically (and tested numerically) and found to be independent of energy. The implications for other systems, in particular integrable ones, are discussed.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/chao-dyn/9905037
dc.identifierhttp://arxiv.org/abs/chao-dyn/9905037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15721
dc.subjectChaotic Dynamics
dc.titleThe Accuracy of Semiclassical Quantization for Integrable Systems
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