Mathematical physics of singular vertices in quantum graphs
Project/Area Number |
24540412
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | Kochi University of Technology |
Principal Investigator |
ZEN Takuju 高知工科大学, 環境理工学群, 教授 (60227353)
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Project Period (FY) |
2012-04-01 – 2015-03-31
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Project Status |
Completed (Fiscal Year 2014)
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Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Keywords | 数理物理 / 量子グラフ / 量子フィルター / 量子異常 / 量子素子 / 数理物理学 / 量子細線 / 単電子素子 / 物性基礎論 / 量子ホロノミー |
Outline of Final Research Achievements |
We have studied the singular vertex of quantum graphs, which is the basic building block in quantum graph theory. We have performed its mathematical analysis and classification and its physical characterization. In the process, we have established several theorems concerning the modularly permutation symmetric unitary Hermitian matrices. As an application, we have found a model of controllable quantum filter based on quantum graph theory.
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Report
(4 results)
Research Products
(23 results)
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[Journal Article] 全卓樹2012
Author(s)
量子的コンピューティングと量子グーム理論
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Journal Title
計測と制御
Volume: 51
Pages: 396-401
Related Report
Peer Reviewed
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