Spectral statistics of the bootstrapped density of states in the d-dimensional integrable billiard system

Keiji Saito, Taro Nagao

研究成果: Article査読

抄録

The bootstrapped density of states introduced by Bogomolny and Keating for classically chaotic systems is applied to integrable systems, and the condition which leads to the universal nature of correlation between levels is investigated. We consider the two-point correlation function of the d-dimensional billiard system. We find the condition between the dimension and the periodic orbit sum in the semiclassical trace formula under which condition the correlation is well described by the Poisson statistics.

本文言語English
ページ(範囲)2792-2797
ページ数6
ジャーナルJournal of the Physical Society of Japan
69
9
DOI
出版ステータスPublished - 2000 9月
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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