PERIODIC ORBIT THEORY ANALYSIS OF A FAMILY OF DEFORMED HEMISPHERICAL BILLIARD SYSTEMS

R. W. Robinett
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R. W. Robinett: Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA

Surface Review and Letters (SRL), 2000, vol. 07, issue 01n02, 151-160

Abstract: We present a periodic orbit theory analysis of a novel three-dimensional billiard system, namely a quasispherical cavity with infinite walls along the conical boundary defined by θ=Θ, where θ is the standard polar angle; for Θ=π/2 this reduces to the special case of a hemispherical infinite well, while for Θ=π it is a spherical well with points along the negativezaxis excluded. We focus especially on the connections between subsets of the energy eigenvalue space and their contributions to qualitatively different classes of closed orbits.

Date: 2000
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DOI: 10.1142/S0218625X00000208

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