A functional equation for semiclassical Fredholm determinant for strongly chaotic billiards

Takahisa Harayama, Akira Shudo, Shuichi Tasaki

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We derive a functional equation for the Fredholm determinant of the boundary element method. By assuming that the functional equation holds for the semiclassical Fredholm determinant for strongly chaotic billiards, we obtain a real function whose zeros are the semiclassical eigenenergies. We also show by the numerical experiment of concave triangle billiards that the semiclassical eigenenergies are very close to the exact eigenenergies.

Original languageEnglish
Pages (from-to)460-469
Number of pages10
JournalProgress of Theoretical Physics Supplement
Issue number139
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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