Spectral Analysis on the Schroedinger Operators with Matrix Coefficients and Its Applications
Project/Area Number |
23540204
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Okayama University |
Principal Investigator |
HIROKAWA Masao 岡山大学, 自然科学研究科, 教授 (70282788)
|
Project Period (FY) |
2011 – 2013
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
Keywords | 行列係数を持つシュレディンガー作用素 / ラビ模型 / 超対称性 / 自発的超対称性の破れ / ディラック作用素 / 自己共役拡張 / 境界条件 / 量子ビット / シュレディンガー作用素 / エネルギー準位交差 / 2準位原子 / 1モード・レーザー光 / 超対称量子力学 / カイラル性 / ラビ・ハミルトニアン / ジェインズ・カミングス・ハミルトニアン / 回路量子電磁力学 / 結合定数 / 強結合領域 / 超強結合領域 / 量子相転移 |
Research Abstract |
I had studied the Schroedinger operators with matrix coefficients in the light of the problems for controlling and transporting qubit. As for the former problem, I had made spectral analysis for the Rabi model and the Janes-Cummings model describing a 2-level (artificial) atom coupled with a 1-mode photon. I had investigated the mathematical properties on the energy as the coupling strength between the atom and the photon get larger. As for the latter problem, I had performed the research into the characterization of the quantum tunneling phase factor and the clarification of its mathematical properties.
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Report
(4 results)
Research Products
(12 results)