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Anomalous shell effect in the transition from a circular to a triangular billiard
https://nitech.repo.nii.ac.jp/records/5389
https://nitech.repo.nii.ac.jp/records/5389059e85bd-bb7c-4bed-b1f9-da03329c112a
名前 / ファイル | ライセンス | アクション |
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本文_fulltext (952.4 kB)
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(c)2008 The American Physical Society
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2012-11-06 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Anomalous shell effect in the transition from a circular to a triangular billiard | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
Arita, Ken-ichiro
× Arita, Ken-ichiro× Brack, Matthias |
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著者別名 | ||||||
姓名 | 在田, 謙一郎 | |||||
書誌情報 |
PHYSICAL REVIEW E 巻 77, 号 5, p. 056211-1-056211-13, 発行日 2008-05-20 |
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出版者 | ||||||
出版者 | American Physical Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 15393755 | |||||
書誌レコードID(NCID) | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11558033 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | http://dx.doi.org/10.1103/PhysRevE.77.056211 | |||||
関連名称 | 10.1103/PhysRevE.77.056211 | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We apply periodic orbit theory to a two-dimensional nonintegrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although the classical dynamics becomes chaotic with increasing triangular deformation, it exhibits an astonishingly pronounced shell effect on its way through the shape transition. A semiclassical analysis reveals that this shell effect emerges from a codimension-2 bifurcation of the triangular periodic orbit. Gutzwiller’s semiclassical trace formula, using a global uniform approximation for the bifurcation of the triangular orbit and including the contributions of the other isolated orbits, describes very well the coarse-grained quantum-mechanical level density of this system.We also discuss the role of discrete symmetry for the large shell effect obtained here. | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |