Periodic orbits and semiclassical quantization of dispersing billiards

T. Harayama, A. Shudo

研究成果: Article

21 引用 (Scopus)

抜粋

Periodic orbits in a dispersing billiard system consisting of three circular arcs are studied numerically by using a partial coding rule together with an efficient method for enumerating periodic orbits on the real billiard plane. By examining several statistical measures, it is shown that the length spectrum and the stability exponents are highly uncorrelated. The validity of the semiclassical trace formula is also tested, and a remarkable agreement of the semiclassical and quantum density of states is obtained at least for about the lower 15 levels.

元の言語English
記事番号019
ページ(範囲)4595-4611
ページ数17
ジャーナルJournal of Physics A: Mathematical and General
25
発行部数17
DOI
出版物ステータスPublished - 1992 12 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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