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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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | シュレーディンガー作用素 / スペクトル / Aharonov-Bohm磁場 / 上半平面 / 第一種Fuchs群 / ランダウレベル / 保型形式 / ランダム磁場 / ランダウ準位 / 2-因子 |
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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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Report
(4 results)
Research Products
(23 results)
