Research on the spectrum and the resonance of Dirac operators
| Project/Area Number |
23540226
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
FUJIIE Setsuro 立命館大学, 理工学部, 教授 (00238536)
WATANABE Takuya 立命館大学, 理工学部, 准教授 (80458009)
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| Co-Investigator(Renkei-kenkyūsha) |
ITO Hiroshi 愛媛大学, 理工学研究科, 教授 (90243005)
OKAJI Takashi 京都大学, 理学研究科, 准教授 (20160426)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | ディラック作用素 / スペクトル理論 / レゾナンス / 固有値問題 / スペクトル / 多体問題 / 自己共役作用素 / 非相対論的極限 / ブラックホール / 相対論的量子力学 / カー・ニューマン計量 |
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| Outline of Final Research Achievements |
We have studied the spectrum and the resonance of Dirac operators, especially (1) the spectral concentration and the non-relativistic limit for potentials infinite at infinity, (2) the spectral structure of many-body Dirac operators, (3) the non-existence of zero eigenvalue for the massless case. We could give our some results for these problems by the corabolation with Hiroshi Ito of Ehime University for (1) and with Takshi Okaji of Kyoto University and Hubert Kalf of Munich University for (2), (3).
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Report
(5 results)
Research Products
(18 results)
