2010 Fiscal Year Final Research Report
Spectrum of random magnetic Schrodinger operators
| Project/Area Number |
20540177
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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 |
Basic analysis
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| Research Institution | Ehime University |
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Principal Investigator |
NOMURA Yuji Ehime University, 大学院・理工学研究科, 准教授 (40282818)
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| Co-Investigator(Renkei-kenkyūsha) |
ITO Hiroshi 愛媛大学, 大学院・理工学研究科, 教授 (90243005)
HIGUCHI Yusuke 昭和大学, 教養部, 講師 (20286842)
MINE Takuya 京都工芸繊維大学, 工芸科学研究科, 准教授 (90378597)
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| Project Period (FY) |
2008 – 2010
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| Keywords | シュレーディンガー作用素 / スペクトル |
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| Research Abstract |
I investigate the spectrum of the Schrodinger operators with homogeneous and periodic Aharonov-Bohm magnetic fields. I give conditions for each Landau level to be an infinitely degenerated eigenvalue or absolutely continuous spectrum.
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