Periodic orbit theory analysis of a family of deformed hemispherical billiard systems

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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 negative z axis excluded. We focus especially on the connections between subsets of the energy eigenvalue space and their contributions to qualitatively different classes of closed orbits.

Original languageEnglish (US)
Pages (from-to)151-160
Number of pages10
JournalSurface Review and Letters
Volume7
Issue number1-2
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

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