Periodic orbits and semiclassical quantization of dispersing billiards

T. Harayama*, A. Shudo

*この研究の対応する著者

研究成果査読

21 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号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
17
DOI
出版ステータスPublished - 1992 12 1

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学(全般)

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