2012 Fiscal Year Final Research Report
Spectral analysis of Schrodinger operators with singular magnetic fields in three dimensions
| Project/Area Number |
22540189
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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 | Kyoto Institute of Technology |
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Principal Investigator |
IWATSUKA Akira 京都工芸繊維大学, 工芸科学研究科, 教授 (40184890)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 関数方程式論 / 関数解析学 / 数理物理 / スペクトル / 散乱理論 |
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| Research Abstract |
We extended our previous results concerning the norm convergence of the Schrodinger operators to some operator with a singular magnetic field supported on a circle when the the thickness of the torus tends to zero, and showed the absolute continuity of the spectrum of the obtained operator with singular magnetic fields and the asymptotic completeness of its scattering operators.
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