Studies of condensed matter physics in terms of operator inequalities
| Project/Area Number |
25400123
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Hokkaido University |
|---|
Principal Investigator |
Miyao Tadahiro 北海道大学, 理学(系)研究科(研究院), 准教授 (20554421)
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2015)
|
| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Keywords | フレーリッヒ模型 / 作用素不等式 / ハバード模型 / 長距離電荷秩序 / スピン鏡映正値性 / 量子電磁場 / 電子格子相互作用 / 汎関数積分 / 多体電子系 / ホルスタイン・ハバード模型 / 非可換ペロン・フロベニウスの定理 / 鏡映正値性 / 自己双対錘 / 基底状態 / 凝縮系物理学 / 強相関電子系 |
|---|
| Outline of Final Research Achievements |
(1) I studied some operator inequalities associated with self-dual cones. By applying these operator inequalities, I constructed a novel method of analyzing removal of the ultraviolet cutoff for the Froehlich model. By the method, I solved a longstanding problem, that is, I proved uniqueness of ground states for the Froehlich model. These results are published in international journals.
(2) I investigated a many-electron system coupled to the quantized radiation field. I obtained a useful upper bound of the charge susceptibility of the system. As a result, I proved the absence of long-range charge order. This result is published in an international journal.
|
Report
(4 results)
Research Products
(11 results)
-
-
-
-
-
-
-
-
-
-
[Presentation] 多体電子系と作用素不等式2014
Author(s)
Tadahiro Miyao
Organizer
札幌数理物理セミナー
Place of Presentation
北海道大学（北海道 札幌市）
Year and Date
2014-09-01 – 2014-09-02
Related Report
-
