An efficient finite element method applied to quantum billiard systems

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dc.creatorSon, Woo-Sik
dc.creatorRim, Sunghwan
dc.creatorKim, Chil-Min
dc.date2009-02-03
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:07Z
dc.date.available2026-07-07T12:46:07Z
dc.descriptionAn efficient finite element method (FEM) for calculating eigenvalues and eigenfunctions of quantum billiard systems is presented. We consider the FEM based on triangular $C_1$ continuity quartic interpolation. Various shapes of quantum billiards including an integrable unit circle are treated. The numerical results show that the applied method provides accurate set of eigenvalues exceeding a thousand levels for any shape of quantum billiards on a personal computer. Comparison with the results from the FEM based on well-known $C_0$ continuity quadratic interpolation proves the efficiency of the method.
dc.descriptionsubmitted to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/0902.0499
dc.identifierhttp://arxiv.org/abs/0902.0499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221276
dc.subjectChaotic Dynamics
dc.titleAn efficient finite element method applied to quantum billiard systems
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