Dynamical Barrier and Quantum localization: Theory of Hamiltonian Dynamics with mixed phase space
| Project/Area Number |
21540394
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
SHUDO Akira 首都大学東京, 大学院・理工学研究科, 教授 (60206258)
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| Co-Investigator(Kenkyū-buntansha) |
TANAKA Atushi 首都大学東京, 大学院・理工学研究科, 助教 (20323264)
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| Co-Investigator(Renkei-kenkyūsha) |
SAITO Shinji 分子科学研究所, 計算科学研究系, 教授 (70262847)
ISHII Yutaka 九州大学, 数理学研究院, 准教授 (20304727)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | カオス / 量子カオス / ハミルトン系 / 非可積分系 / 混合位相空間 / 遅い緩和 / 量子トンネル効果 / 複素力学系 / 半古典論 / 完全WKB解析 / ストークス現象 / カオス的トンネル効果 / 複素半古典論 / 自然境界 / 古典カオス / 動的トンネル効果 / ストークス幾何 / 非断熱遷移 / 動的局在 / カオス的トンネル / アンダーソン転移 |
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| Research Abstract |
Hamiltonian systems with mixed phase space have been studied. The mechanism of slow motionin classical dynamics has been analyzed and the interplay between quantum localizations with different origins has been examined into details.
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Report
(5 results)
Research Products
(71 results)
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[Presentation] Flooding of tunneling flux in the Kepler map2011
Author(s)
Y.Hanada, K.S.Ikeda, A.Shudo
Organizer
International Symposium on Nano Science and Functional Materials : Post-symposium of International Symposium on Catalysis and Fine Chemicals 2011
Place of Presentation
Tokyo Metropolitan Univ.
Year and Date
2011-12-01
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