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

Keiji Saito, Taro Nagao

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)2792-2797
Number of pages6
JournalJournal of the Physical Society of Japan
Issue number9
Publication statusPublished - 2000 Sep



  • Level statistics
  • Quantum chaos

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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