Spectral Gaps of the Dirac Operators with Periodic Point Interactions
| Project/Area Number |
20540182
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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 | Tokyo Metropolitan University |
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Principal Investigator |
YOSHITOMI Kazushi Tokyo Metropolitan University, 大学院・理工学研究科, 准教授 (40304729)
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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 |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 関数方程式 / ディラック作用素 / 周期ポテンシャル / 点相互作用 / スペクトラルギャップ / ディオファントス近似 / 非斉次近似定数 |
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| Research Abstract |
In this research the one-dimensional Dirac operator with a periodic point interaction has been investigated. The main result gives a relationship between the asymptotic behavior of the length of the gaps and the Diophantine property of the parameters involved in the operator.
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Report
(4 results)
Research Products
(24 results)
