Applications of operator inequalities induced by self-dual cones to the solid state physics
| Project/Area Number |
23740112
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Hokkaido University (2012)
Setsunan University (2011) |
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Principal Investigator |
MIYAO Tadahiro 北海道大学, 大学院・理学研究院, 准教授 (20554421)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 作用素不等式 / 自己双対錐 / 電子格子相互作用系 / 基底状態 / 自己双対錘 / 国際情報交換 / 数理物理学 / 関数解析 / 物性基礎論 |
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| Research Abstract |
Self-dual cones in the Hilbert space naturally induce useful operator inequalities. We studied mathematical aspects of the inequalities and applied these to the condensed matter physics. For instance, the Holstein-Hubbard, SSH and Frohlich models are investigated from the viewpoint of our operator inequalities. We showed that ground states are unique in the Holstein-Hubbard and SSH models. This reveals interesting magnetic structures in the ground states.
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Report
(3 results)
Research Products
(10 results)
