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

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Arita, K ; Brack, Matthias
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Date of publication of this fulltext: 05 Aug 2009 13:57


We 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 ...


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