Anomalous shell effect in the transition from a circular to a triangular billiard

Simple item page
dc.creatorArita, Ken-ichiro
dc.creatorBrack, Matthias
dc.date2007-10-27
dc.date2008-04-25
dc.date.accessioned2026-07-07T11:38:22Z
dc.date.available2026-07-07T11:38:22Z
dc.descriptionWe apply periodic orbit theory to a two-dimensional non-integrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although the classical dynamics becomes chaotic with increasing triangular deformation, it exhibits an astonishingly pronounced shell effect on its way through the shape transition. A semiclassical analysis reveals that this shell effect emerges from a codimension-two bifurcation of the triangular periodic orbit. Gutzwiller's semiclassical trace formula, using a global uniform approximation for the bifurcation of the triangular orbit and including the contributions of the other isolated orbits, describes very well the coarse-grained quantum-mechanical level density of this system. We also discuss the role of discrete symmetry for the large shell effect obtained here.
dc.description14 pages REVTeX4, 16 figures, version to appear in Phys. Rev. E. Qualities of some figures are lowered to reduce their sizes. Original figures are available at http://www.phys.nitech.ac.jp/~arita/papers/tricirc/
dc.identifierhttps://arxiv.org/abs/0710.5231
dc.identifierhttp://arxiv.org/abs/0710.5231
dc.identifierPhys.Rev.E77:056211,2008
dc.identifierdoi:10.1103/PhysRevE.77.056211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199541
dc.subjectChaotic Dynamics
dc.subjectNuclear Theory
dc.titleAnomalous shell effect in the transition from a circular to a triangular billiard
dc.typetext

Files

Collections

arXiv