Transitions to quantum chaos in a generic one-parameter family of billiards

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dc.creatorRim, Sunghwan
dc.creatorLee, Soo-Young
dc.creatorYim, Eui-Soon
dc.creatorLee, C. H.
dc.date1998-08-21
dc.date.accessioned2026-07-07T02:35:31Z
dc.date.available2026-07-07T02:35:31Z
dc.descriptionGeneric one-parameter billiards are studied both classically and quantally. The classical dynamics for the billiards makes a transition from regular to fully chaotic motion through intermediary soft chaotic system. The energy spectra of the billiards are computed using finite element method which has not been applied to the euclidean billiard. True generic quantum chaotic transitional behavior and its sensitive dependence on classical dynamics are uncovered for the first time. That is, this sensitive dependence of quantum spectral measures on classical dynamics is a genuine manifestation of quantum chaos.
dc.description7 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9808019
dc.identifierhttp://arxiv.org/abs/chao-dyn/9808019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15637
dc.subjectChaotic Dynamics
dc.titleTransitions to quantum chaos in a generic one-parameter family of billiards
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