Weyl formulas for annular ray-splitting billiards

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dc.creatorDécanini, Yves
dc.creatorFolacci, Antoine
dc.date2003-05-20
dc.date.accessioned2026-07-07T06:27:12Z
dc.date.available2026-07-07T06:27:12Z
dc.descriptionWe consider the distribution of eigenvalues for the wave equation in annular (electromagnetic or acoustic) ray-splitting billiards. These systems are interesting in that the derivation of the associated smoothed spectral counting function can be considered as a canonical problem. This is achieved by extending a formalism developed by Berry and Howls for ordinary (without ray-splitting) billiards. Our results are confirmed by numerical computations and permit us to infer a set of rules useful in order to obtain Weyl formulas for more general ray-splitting billiards.
dc.identifierhttps://arxiv.org/abs/nlin/0305034
dc.identifierhttp://arxiv.org/abs/nlin/0305034
dc.identifierPhys. Rev. E68, 046204 (2003)
dc.identifierdoi:10.1103/PhysRevE.68.046204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97348
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.subjectClassical Physics
dc.titleWeyl formulas for annular ray-splitting billiards
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