Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard

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dc.creatorDietz, B.
dc.creatorMoessner, B.
dc.creatorPapenbrock, T.
dc.creatorReif, U.
dc.creatorRichter, A.
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:38:10Z
dc.date.available2026-07-07T09:38:10Z
dc.descriptionWe study the classical and quantum mechanics of a three-dimensional stadium billiard. It consists of two quarter cylinders that are rotated with respect to each other by 90 degrees, and it is classically chaotic. The billiard exhibits only a few families of nongeneric periodic orbits. We introduce an analytic method for their treatment. The length spectrum can be understood in terms of the nongeneric and unstable periodic orbits. For unequal radii of the quarter cylinders the level statistics agree well with predictions from random matrix theory. For equal radii the billiard exhibits an additional symmetry. We investigated the effects of symmetry breaking on spectral properties. Moreover, for equal radii, we observe a small deviation of the level statistics from random matrix theory. This led to the discovery of stable and marginally stable orbits, which are absent for un equal radii.
dc.description11 pages, 10 eps figures
dc.identifierhttps://arxiv.org/abs/0804.1551
dc.identifierhttp://arxiv.org/abs/0804.1551
dc.identifierPhys. Rev. E 77, 046221 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.046221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160711
dc.subjectChaotic Dynamics
dc.titleBouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard
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